Properties of the Number 56700

Fifty-Six Thousand Seven Hundred

Basics

Value: 56699 → 56700 → 56701

Parity: even

Prime: No

Previous Prime: 56687

Next Prime: 56701

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 5 ² × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110101111100

Octal: 156574

Duodecimal: 28990

Hexadecimal: dd7c

Square: 3214890000

Square Root: 238.11761799581316

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

a(n) = n!*(n-1)!/2^n-1. A6472

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of nⁿ as Sum(k=0..n)T(n,k)*binomial(n,k). A244122

Coefficient table of numerator polynomials of o.g.f.s for partial sums of powers of positive integers. A196837

T(n, m), denominators of coefficients in a power/Fourier series expansion of the plane pendulum's exact phase space trajectory. A273507

Coefficients of a partition transform for Lagrange inversion of -log(1 - u(.)*t), complementary to A134685 for an e.g.f. A133932

Triangle read by rows: T(n,k) is the number of chiral pairs of cycles of length n (1) with a color pattern of exactly k colors or equivalently (2) partitioned into k nonempty subsets. A320647

Triangle read by rows: T(n,k) is the number of achiral colorings of the facets of a regular n-dimensional orthotope using exactly k colors. Row n has 2n columns. A325011

a(n) = ∏_{d∣n, d<n} A260443(d). A293216

a(n) = ∏_{d∣n, d<n} A019565(A193231(d)). A293231

Triangle T(n,k) of number of chains of length k in partitions of an n-set ordered by refinement. A331955