Properties of the Number 13268

Thirteen Thousand Two Hundred Sixty-Eight

Basics

Value: 13267 → 13268 → 13269

Parity: even

Prime: No

Previous Prime: 13267

Next Prime: 13291

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 31 × 107

Divisors: 1, 2, 4, 31, 62, 107, 124, 214, 428, 3317

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111010100

Octal: 31724

Duodecimal: 7818

Hexadecimal: 33d4

Square: 176039824

Square Root: 115.18680479985544

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

Number of integer partitions of n with at least one part of odd multiplicity that is not the first or last. A349061

Numbers k such that k² contains exactly 9 different digits. A54037

a(n) = 2·n*(7·n - 3). A316466

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 eight or more ways. A345583

Numbers that are the sum of eight fourth powers in exactly eight ways. A345840

a(1) = 1; set of digits of a(n)² is a subset of the set of digits of a(n+1)². A66825

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299465

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300108

Number of integer partitions of n whose parts have weakly decreasing numbers of prime factors (A001222). A358909