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360 is also the 6th superior highly composite number, [2] the 6th colossally abundant number, [3] a refactorable number, a 5-smooth number, and a Harshad number in decimal since the sum of its digits is a divisor of 360. 360 is divisible by the number of its divisors , and it is the smallest number divisible by every natural number from 1 to 10 ...
A highly composite number is a positive ... Highly composite numbers whose number of divisors is also a highly composite number are 1, 2, 6, 12, 60, 360, 1260, 2520 ...
The basic rule for divisibility by 4 is that if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4; [2] [3] this is because 100 is divisible by 4 and so adding hundreds, thousands, etc. is simply adding another number that is divisible by 4. If any number ends in a two digit number that ...
a highly abundant number has a sum of positive divisors that is greater than any lesser number; that is, σ(n) > σ(m) for every positive integer m < n. Counterintuitively, the first seven highly abundant numbers are not abundant numbers. a prime number has only 1 and itself as divisors; that is, d(n) = 2
The first 15 superior highly composite numbers, 2, 6, 12, 60, 120, 360, 2520, 5040, 55440, 720720, 1441440, 4324320, 21621600, 367567200, 6983776800 (sequence A002201 in the OEIS) are also the first 15 colossally abundant numbers, which meet a similar condition based on the sum-of-divisors function rather than the number of divisors. Neither ...
Another motivation for choosing the number 360 may have been that it is readily divisible: 360 has 24 divisors, [note 1] making it one of only 7 numbers such that no number less than twice as much has more divisors (sequence A072938 in the OEIS). [11] Furthermore, it is divisible by every number from 1 to 10 except 7.
A Minnesota couple has reportedly been sentenced to four years after they locked their children in cages for "their safety." Benjamin and Christina Cotton from Red Wing, were sentenced by a ...
A number that has fewer digits than the number of digits in its prime factorization (including exponents). A046760: Pandigital numbers: 1023456789, 1023456798, 1023456879, 1023456897, 1023456978, 1023456987, 1023457689, 1023457698, 1023457869, 1023457896, ... Numbers containing the digits 0–9 such that each digit appears exactly once. A050278