Properties of the Number 57136

Fifty-Seven Thousand One Hundred Thirty-Six

Basics

Value: 57135 → 57136 → 57137

Parity: even

Prime: No

Previous Prime: 57131

Next Prime: 57139

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 3571

Divisors: 1, 2, 4, 8, 16, 3571, 7142, 14284, 28568, 57136

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111100110000

Octal: 157460

Duodecimal: 29094

Hexadecimal: df30

Square: 3264522496

Square Root: 239.0313786932586

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) = floor(n*φ¹⁷), where φ is the golden ratio, A001622. A4932

[s(k)-s(j)]/9, where the pairs (k,j) are given by A205872 and A205873, and s(k) denotes the (k+1)-st Fibonacci number. A205875

Number of products of factorials not exceeding n!. A101976

Number of n X 5 0..1 arrays with rows and columns lexicographically nondecreasing read forwards, and nonincreasing read backwards. A201372

a(n) = round(n*φ¹⁷), where φ is the golden ratio, A001622. A4952

Expansion of e.g.f.: arcsin(sinh(x)+log(x+1))=2·x-1/2!*x²+11/3!*x³-30/4!*x⁴+463/5!*x⁵... A13015

Floor(Fibonacci(2n+1)/9). A156561

Palindromes whose square root is a palindrome. A57136

Number of (n+1)X2 0..3 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors. A205090