Properties of the Number 12600

Twelve Thousand Six Hundred

Basics

Value: 12599 → 12600 → 12601

Parity: even

Prime: No

Previous Prime: 12589

Next Prime: 12601

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 ² × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11000100111000

Octal: 30470

Duodecimal: 7360

Hexadecimal: 3138

Square: 158760000

Square Root: 112.24972160321825

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 (11·10^k + 19)/3 is prime. A270339

Product of all possible sums of two distinct numbers taken from among first n natural numbers. A93883

Triangle of Lah numbers. A8297

Coefficients of list partition transform: reciprocal of an exponential generating function (e.g.f.). A133314

Triangle read by rows: T(n,k) = binomial(n,k)*(n-1)!/(k-1)!. A105278

The matrix inverse of the unsigned Lah numbers A271703. A111596

Triangle read by rows: the unsigned Lah numbers T(n, k) = binomial(n-1, k-1)*n!/k! if n > 0 and k > 0, T(n, 0) = 0ⁿ and otherwise 0, for n >= 0 and 0 <= k <= n. A271703

If 2n = 2^e1 + 2^e2 + ... + 2^ek [e1 .. ek distinct], then a(n) = A002110(e1) * A002110(e2) * ... * A002110(ek). A283477

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of triangular numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 2·p-1, where a(i,p) satisfies ∑_i=1..n C(i+1,2)^p = 3·C(n+2,3) * ∑_i=1..2·p-1 a(i,p) * C(n-1,i-1)/(i+2). A87127

Multinomial coefficients (0, 1, ..., n)! = C(n+1,2)!/(0!*1!*2!*...*n!). A22915