Number Gossip

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Unique Properties of 540

  • 540 is the smallest number whose divisors contain every digit at least twice
  • 540 is the smallest positive heptagonal number that is also a half of a pentagonal number
  • 540 is the smallest number n that is a concatenation of two other numbers s and t such that n is the product of the sums of divisors of s and t (540 = 6*90 = σ(5)*σ(40))
  • 540 is the smallest number n such that Fibonacci(n) is divisible by n, n+1, n+2, and n+3

Common Properties of 540

Abundant
Apocalyptic power
Composite
Even
Evil
Practical
Untouchable