Properties of the Number 23540

Twenty-Three Thousand Five Hundred Forty

Basics

Value: 23539 → 23540 → 23541

Parity: even

Prime: No

Previous Prime: 23539

Next Prime: 23549

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 11 × 107

Divisors: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101111110100

Octal: 55764

Duodecimal: 11758

Hexadecimal: 5bf4

Square: 554131600

Square Root: 153.42750731208534

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

Numbers k such that k and k+1 each have at least 4 distinct prime factors. A321504

Number of circular permutations with no arithmetic progressions i, ..., i+r, ..., i+2r (mod n) of any equal spacings d. A174087

Expansion of (1/x) * Series_Reversion( x * (1/(1-x⁴) - x) ). A370841

Conjectured formula for irreducible 6-fold Euler sums of weight 2n+16. A19459

Decimal part of a(n)^1/5 starts with a 'nine digits' anagram. A34280

Number of right triangles on a (n+1) X 4 grid. A189808

Number of 0..n arrays x(0..3) of 4 elements with each no smaller than the sum of its two previous neighbors modulo (n+1). A207101

Number of binary strings with n zeros and n ones avoiding the substrings 10101101 and 1110101. A275046

Expansion of 1/((1-x)(1-5x)(1-9x)(1-11x)). A23540

Array read by antidiagonals: Costs E[m,N] of m-ary Huffman trees of maximum height with N internal nodes (non-leaves) for minimizing absolutely ordered sequences of size n=2N+1; m > 1, N > 0. A98810