Properties of the Number 12768

Twelve Thousand Seven Hundred Sixty-Eight

Basics

Value: 12767 → 12768 → 12769

Parity: even

Prime: No

Previous Prime: 12763

Next Prime: 12781

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 7 × 19

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111100000

Octal: 30740

Duodecimal: 7480

Hexadecimal: 31e0

Square: 163021824

Square Root: 112.99557513460428

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) = (prime(n)-1)*(prime(n)+1). A84920

3 times octagonal numbers: a(n) = 3·n*(3·n-2). A152751

Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits. A20342

Triangle read by rows: T(n,k) is the number of rooted toroidal maps with n edges and k faces and without isthmuses, n >= 2, k = 1..n-1. A343092

Triangle T(n,k) (0<= k <=n) read by rows. Left edge is 1, 0, 0, ... Otherwise each entry is sum of entry to left, entries immediately above it to left and right and entry directly above it 2 rows back. A59283

a(1)=1. a(n) = a(n-1) + sum of the squares which are among the first (n-1) terms of the sequence. A101135

Numbers divisible by at least four of their digits, different and >1. A187238

Numbers that divide the sum of cubes of their divisors. A46763

Triangle T(n,k) (n>=0, 0 <= k <= n) read by rows giving number of underdiagonal lattice paths from (0,0) to (n,k) using only steps R=(1,0), V=(0,1) and D=(1,2). A71943

Total number of parts coprime to n in the partitions of n into 7 parts. A363325