Number Gossip
(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)
Unique Properties of 360
- 360 is the number of degrees in a circle
- 360 is the largest number out of two (the other being 36) that have the same number of letters in its Roman representation as its double, triple, quadruple, quintuple, sextuple and septuple
- 360 is the smallest number with three distinct exponents in its prime factorization
- 360 is the smallest number which is a product of three positive integers with a minimal sum in more than one way (360 = 5*8*9 = 6*6*19, with the minimal sum of 22)
- 360 is the largest integer n for which the number of primes less than or equal to n equals n/5