Properties of the Number 10968

Ten Thousand Nine Hundred Sixty-Eight

Basics

Value: 10967 → 10968 → 10969

Parity: even

Prime: No

Previous Prime: 10957

Next Prime: 10973

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 457

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 457, 914

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011011000

Octal: 25330

Duodecimal: 6420

Hexadecimal: 2ad8

Square: 120297024

Square Root: 104.72821969268837

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

Expansion of (-1 + ∏_k>=1 (1 + x^k)^k)³. A341385

Number of ways to place 3 nonattacking knights on a 3 X n board. A172212

Number of vertices at level n of the hyperbolic Pascal pyramid PP_4,5. A293066

Numbers k such that binomial(5k, k) - 1 is prime. A125242

Composite numbers with properties that its digits (which may appear with multiplicity) may not appear in any of its factors (wherein the digits may also appear with multiplicity) and the combined digits of the product and the factors must have at least one of each of the ten digits. A370972

Triangle of coefficients of polynomials v(n,x) jointly generated with A210866; see the Formula section. A210867

Numbers k for which A003958(σ(k)) = 2·A003958(k), where A003958 is multiplicative with a(p^e) = (p-1)^e and σ is the sum of divisors function. A351447

Indices where record high values occur in A379248. A379295

Expansion of (1-x)^-1/(1-2·x²+x³). A77880

Numbers that together with their prime factors contain every digit exactly once. A124668