Properties of the Number 56560

Fifty-Six Thousand Five Hundred Sixty

Basics

Value: 56559 → 56560 → 56561

Parity: even

Prime: No

Previous Prime: 56543

Next Prime: 56569

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 5 × 7 × 101

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110011110000

Octal: 156360

Duodecimal: 28894

Hexadecimal: dcf0

Square: 3199033600

Square Root: 237.82346393911598

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

House numbers: a(n) = (n+1)³ + ∑_i=1..n i². A51662

Number of permutations of 7 indistinguishable copies of 1..n arranged in a circle with exactly 2 adjacent element pairs in decreasing order. A151610

Smallest positive number of "triangular" shuffles of n(n+1)/2 cards needed to restore them to their original order. A122158

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 9 (most significant digit on right). A61938

a(n) is the smallest number which can be represented as the sum of 4 distinct nonzero tetrahedral numbers in exactly n ways, or -1 if no such number exists. A374809

Number for rooted ordered trees with edge weights summing to n, where edge weights are all greater than zero, and the sequences of edge weights in all downward paths are strictly increasing. A384938

Tetrahedron with T(t,n,k)=n-k; succession of growing finite triangles with increasing values towards bottom left. A56560