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 60

  • The smallest non-abelian simple group (the alternating group on 5 elements) has order 60, in particular 60 is the smallest composite which is the order of a simple group
  • 60 is the smallest product of the sides of a Pythagorean triangle
  • It is possible to arrange 60 unit squares into a rectangle, so that the border squares take half the area. The only other option is with 48 squares
  • 60 is the smallest number divisible by the numbers 1 to 6
  • 60 is the smallest number with exactly 12 divisors

Common Properties of 60

Abundant
Composite
Even
Evil
Practical