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Properties of the Number 12590

Twelve Thousand Five Hundred Ninety

Basics

Value: 12589 → 12590 → 12591

Parity: even

Prime: No

Previous Prime: 12589

Next Prime: 12601

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 1259

Divisors: 1, 2, 5, 10, 1259, 2518, 6295, 12590

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100101110

Octal: 30456

Duodecimal: 7352

Hexadecimal: 312e

Square: 158508100

Square Root: 112.20516922138658

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)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A237090
Square spiral in which each new term is the sum of its two largest neighbors. A278180
Smallest number whose tenth power has at least n digits. A130084
Number of partitions of n such that the number of parts having multiplicity 1 is not a part and the number of distinct parts is a part. A241443
a(n) = ∑k=0..floor(n/4) (-1)k * binomial(n-1-3·k,k) * binomial(2·n-8·k,n-4·k). A360295
Conjectured dimensions of spaces of weight systems of chord diagrams. A14595
Indices of pentagonal pyramidal numbers which are the sum of two other such numbers: k such that A002411(k) = A002411(i)+A002411(j) for some i,j>0. A172437
Numbers that contain as proper substrings every maximal prime power dividing them. A59401
Numbers k such that 3·10k + 6·Rk - 5 is prime, where Rk = 11...1 is the repunit (A002275) of length k. A102974
Number of 3-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. A187858