Properties of the Number 58720

Fifty-Eight Thousand Seven Hundred Twenty

Basics

Value: 58719 → 58720 → 58721

Parity: even

Prime: No

Previous Prime: 58711

Next Prime: 58727

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 5 × 367

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110010101100000

Octal: 162540

Duodecimal: 29B94

Hexadecimal: e560

Square: 3448038400

Square Root: 242.32209969377536

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

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). A234450

Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). A234444

Number of (n+1) X (4+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). A234447

E.g.f.: Limit_N->oo [ ∑_n>=0 (N + 2·n)^2·n * (x/N)ⁿ/n! ]^1/N. A266485

Triangle T(n,k) giving the number of simple matroids of rank k on n labeled points (n >= 2, 2 <= k <= n). A58720

E.g.f.: Limit_N->oo [ ∑_n>=0 (N² + N·n + n²)ⁿ * (x/N)ⁿ/n! ]^1/N. A319147

a(n) = coefficient of xⁿ*yⁿ⁺¹/n! in (1/4) * log( ∑_n>=0 (n + 2·y)^2·n * xⁿ/n! ). A359926