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120 (number) |
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120 (number)120 (one hundred twenty in American English; one hundred and twenty in British English) is the natural number following 119 and preceding 121. 120 was known as "the great hundred", especially prior to the year 1700, from the Teutonic Hundert which equalled 120. The number 100, now known commonly as "one hundred" was then known as "the small hundred". In mathematicsOne hundred twenty is a highly composite number, and the factorial of 5. It is also the sum of a twin prime pair (59 + 61) as well as the sum of four consecutive primes (23 + 29 + 31 + 37). 120 is the smallest number to appear six times in Pascal's triangle, and it is also a Harshad number.It is the eighth hexagonal number and the fifteenth triangular number, as well as the sum of the first eight triangular numbers, making it also a tetrahedral number. 120 is divisible by the number of primes below it, 30 in this case. But there is no integer which has 120 as the sum of its proper divisors, making 120 an untouchable number. One hundred twenty figures in 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 multiplied with any of the other numbers in the sequence yields a number that is one less than a square. Euler also searched for this number, but failed to find it, but did find a fractional number that meets the other conditions, 777480 / 287922. The internal angles of a regular hexagon (one where all sides and all angles are equal) are all 120 degreess. In other fieldsOne hundred twenty is also:
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