Number of the day: 59840

Properties of the number 59840:

59840 = 2⁶ × 5 × 11 × 17 is the 53792^th composite number and is not squarefree.
59840 has 4 distinct prime factors, 56 divisors, 23 antidivisors and 20480 totatives.
59840 has an emirpimes digit sum 26 in base 10.
59840 is the difference of 2 nonnegative squares in 20 ways.
59840 is the difference of 2 positive pentagonal numbers in 4 ways.
59840 is not the sum of 3 positive squares.
59840² = 28160² + 52800² = 9152² + 59136² = 25344² + 54208² = 35904² + 47872² is the sum of 2 positive squares in 4 ways.
59840² is the sum of 3 positive squares.
59840 is a proper divisor of 353⁴ - 1.
59840 is palindromic in (at least) base -77.

The number 59840 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A011931: [ n(n-1)(n-2)(n-3)/21 ].
A148574: Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (0, 1, 1), (1, 0, -1)}
A214475: Degrees of irreducible representations of orthogonal group O10-(2).