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 240

  • 240 is the smallest number with 20 divisors
  • The maximum number of divisors for any integer less than a million is 240
  • 240 is the smallest magic constant of a pan-diagonal magic square which consist of distinct prime numbers (this square is of order 4)
  • The most special root system E8 has 240 root vectors
  • 240 is the largest side of the smallest Euler brick
  • Soma cube has 240 solutions
  • There 240 mountain numbers (digits go up then down) with 3 digits
  • 240 is the number of ways to color a cube in at most 4 colors (up to rotations)

Rare Properties of 240

Pronic (Heteromecic)

Common Properties of 240

Abundant
Composite
Even
Evil
Practical