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- 120 (number) - Simple English Wikipedia, the free encyclopedia
- Factors of 120 | How to Find the Prime Factors of 120 by ...
- Factors of 120 - GCF and LCM Calculator
- Factors of 120 | Prime Factorization and Factor Tree of 120
- 120 (number) - Wikiwand
- Number 120 facts
- Number 120 - Facts about the integer - Numbermatics
- 120 (number) | Math Wiki - Fandom
- Properties of the number 120 - numberempire.com
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120 (number) GudangMovies21 Rebahinxxi LK21
120 (one hundred [and] twenty) is the natural number following 119 and preceding 121.
In the Germanic languages, the number 120 was also formerly known as "one hundred". This "hundred" of six score is now obsolete but is described as the long hundred or great hundred in historical contexts.
In mathematics
120 is
the factorial of 5, i.e.,
5
!
=
5
⋅
4
⋅
3
⋅
2
⋅
1
{\displaystyle 5!=5\cdot 4\cdot 3\cdot 2\cdot 1}
.
the fifteenth triangular number, as well as the sum of the first eight triangular numbers, making it also a tetrahedral number. 120 is the smallest number to appear six times in Pascal's triangle (as all triangular and tetragonal numbers appear in it). Because 15 is also triangular, 120 is a doubly triangular number. 120 is divisible by the first five triangular numbers and the first four tetrahedral numbers. It is the eighth hexagonal number.
The 10th highly composite, the 5th superior highly composite, superabundant, and the 5th colossally abundant number. It is also a sparsely totient number. 120 is also the smallest highly composite number with no adjacent prime number, being adjacent to
119
=
7
⋅
17
{\displaystyle 119=7\cdot 17}
and
121
=
11
2
.
{\displaystyle 121=11^{2}.}
It is also the smallest positive multiple of six not adjacent to a prime.
120 is the first multiply perfect number of order three (a 3-perfect or triperfect number). The sum of its factors (including one and itself) sum to 360, exactly three times 120. Perfect numbers are order two (2-perfect) by the same definition.
120 is the sum of a twin prime pair (59 + 61) and the sum of four consecutive prime numbers (23 + 29 + 31 + 37), four consecutive powers of two (8 + 16 + 32 + 64), and four consecutive powers of three (3 + 9 + 27 + 81).
120 is divisible by the number of primes below it (30). However, there is no integer that has 120 as the sum of its proper divisors, making 120 an untouchable number.
The sum of Euler's totient function
ϕ
(
x
)
{\displaystyle \phi (x)}
over the first nineteen integers is 120.
As 120 is a factorial and one less than a square (
5
!
=
11
2
−
1
{\displaystyle 5!=11^{2}-1}
), it—with 11—is one of the few Brown number pairs.
120 appears in Pierre de Fermat's modified Diophantine problem as the largest known integer of the sequence 1, 3, 8, 120. Fermat wanted to find another positive integer that, when multiplied by any of the other numbers in the sequence, yields a number that is one less than a square. Leonhard Euler also searched for this number. He failed to find an integer, but he did find a fraction that meets the other conditions:
777
,
480
2879
2
{\textstyle {\frac {777,480}{2879^{2}}}}
.
The internal angles of a regular hexagon (one where all sides and angles are equal) are all 120 degrees.
In science
In electrical engineering, each line of the three-phase system are 120 degrees apart from each other.
Three soap films meet along a Plateau border at 120° angles.
In religion
The age at which Moses died (Deut. 34:7).
By extension, in Jewish tradition, to wish someone a long life, one says, "Live until 120"
In astrology, when two planets in a person's chart are 120 degrees apart from each other, this is called a trine. This is supposed to bring good luck to the person's life.
In other fields
120 is also:
TT scale, a scale for model trains, is 1:120.
The Standard AC Voltage in US, Canada, Mexico and some other countries.
References
Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 135
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Number 120 Images, Stock Photos & Vectors | Shutterstock
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2,854 120 number Images, Stock Photos & Vectors | Shutterstock
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3,141 120 Number Images, Stock Photos & Vectors | Shutterstock
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Meaning Angel Number 120 Interpretation Message of the Angels >>
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120 Number Chart
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Number Chart to 120 – Top Teacher
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Angel Number 120 Meaning: Develop New Skills - SunSigns.Org
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Number 120 vector font alphabet. Yellow 120 number with black ...
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120 Chart • the number lab
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120 NUMBER BOARDS - Walmart.com
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Number 120 Stock Photo by ©Elenven 67550763
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120 number
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120 (number) - Wikipedia
120 (one hundred [and] twenty) is the natural number following 119 and preceding 121. In the Germanic languages , the number 120 was also formerly known as "one hundred". This "hundred" of six score is now obsolete but is described as the …
120 (number) - Simple English Wikipedia, the free encyclopedia
120 is the sum a twin prime pair (59 + 61). It is also the sum of four prime numbers in a row (23 + 29 + 31 + 37). It is the sum of four powers of two in a row (8 + 16 + 32 + 64). Finally, it is the sum of four powers of 3 (3 + 9 + 27 + 81). 120 is divisible by the number of prime numbers below it(there are 30 prime numbers below 120).
Factors of 120 | How to Find the Prime Factors of 120 by ...
The factors of 120 are the numbers which are multiplied in pairs, resulting in the original number 120. The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120.
Factors of 120 - GCF and LCM Calculator
Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60. There are 15 integers that are factors of 120. The biggest factor of 120 is 60. Positive integers that divides 120 without a remainder are listed below. What are the multiples of 120? What are the factors of 120 in 2 pairs?
Factors of 120 | Prime Factorization and Factor Tree of 120
Oct 18, 2024 · The factors of 120 are the integers that can be multiplied in pairs to the produce the number 120. The complete list of the factors includes 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120.
120 (number) - Wikiwand
120 is a natural number. It is before 121 and after 119. It reads as one hundred [and] twenty.
Number 120 facts
The number 120 is the sum of the first 15 natural numbers; 120 is the smallest 3-perfect number — the sum of its divisors is equal to itself times 3; 120 is the smallest triangular number whose digit permutations yield at least two other triangular numbers (120 yields 21 and 210)
Number 120 - Facts about the integer - Numbermatics
Your guide to the number 120, an even composite number composed of three distinct primes. Mathematical info, prime factorization, fun facts and numerical data for STEM, education and fun.
120 (number) | Math Wiki - Fandom
120 is the sum of a twin prime pair (59 + 61) and the sum of four consecutive prime numbers (+ + +), four consecutive powers of two (+ + +), and four consecutive powers of three (+ + +). 120 is divisible by the number of primes below it (30).
Properties of the number 120 - numberempire.com
Number 120 is a triangular number with n=15 and a hexagonal number with n=8. Binary numeral for number 120 is 1111000. Octal numeral is 170. Duodecimal value is a0. Hexadecimal representation is 78. Square of the number 120 is 14400. Square root of the number 120 is 10.954451150103.