Properties of the Number -133056

One Hundred Thirty-Three Thousand Fifty-Six

Basics

Value: -133057 → -133056 → -133055

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ³ × 7 × 11

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: -100000011111000000

Octal: -403700

Duodecimal: -65000

Hexadecimal: -207c0

Square: 17703899136

Square Root: 364.7684196856959

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 η(q)²⁴ / η(q²)¹² in powers of q. A286346

T(n, k) = [x^k] 2ⁿ*(Euler(n, x/2) + Euler(n, x)), where Euler(n, x) are the Euler polynomials. Triangle read by rows, T(n, k) for 0 <= k <= n. A342314

A certain partition array in Abramowitz-Stegun order (A-St order), called M₃(6). A134278

a(n) = (n⁴ + n² + 2·n)/4. A6528

Number of anti-run permutations of the prime indices of n!. A335407

Number of ways of writing n as a sum of 12 squares. A145

A partition product of Stirling₂ type [parameter k = -6] with biggest-part statistic (triangle read by rows). A157396

Number of square divisors of n!. A55993

T(n,k)=Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no more than k-1 2-cycles. A271969

Denominators of a semi-convergent series leading to the second Stieltjes constant gamma₂. A262385