Properties of the Number 12692

Twelve Thousand Six Hundred Ninety-Two

Basics

Value: 12691 → 12692 → 12693

Parity: even

Prime: No

Previous Prime: 12689

Next Prime: 12697

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 19 × 167

Divisors: 1, 2, 4, 19, 38, 76, 167, 334, 668, 3173

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110010100

Octal: 30624

Duodecimal: 7418

Hexadecimal: 3194

Square: 161086864

Square Root: 112.6587768440613

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 arrangements of n+2 nonzero numbers x(i) in -k..k with the sum of x(i)*x(i+1) equal to zero. A188249

20-gonal (or icosagonal) numbers: a(n) = n*(9·n-8). A51872

Number of n X n matrices over GF(3) of order dividing 2 (i.e., number of solutions of X²=I in GL(n,3)). A53846

Numbers that are the sum of eight fourth powers in seven or more ways. A345582

Numbers that are the sum of eight fourth powers in exactly seven ways. A345839

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) = number of distinct parts of p. A241820

Number of partitions of 3n into exactly 6 parts. A256315

Numbers k such that k and its reversal are both multiples of 19. A62907

Position of 2ⁿ in A051037 (5-smooth numbers). A188425

Number of partitions of 6n into 6 parts. A256226