Properties of the Number 11792

Eleven Thousand Seven Hundred Ninety-Two

Basics

Value: 11791 → 11792 → 11793

Parity: even

Prime: No

Previous Prime: 11789

Next Prime: 11801

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 11 × 67

Divisors: 1, 2, 4, 8, 11, 16, 22, 44, 67, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10111000010000

Octal: 27020

Duodecimal: 69A8

Hexadecimal: 2e10

Square: 139051264

Square Root: 108.59097568398582

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 subsets of {1..n} containing n such that it is possible to choose a different prime factor of each element (choosable). A370586

Number of compositions of n whose run-lengths are weakly increasing. A332836

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals. A202898

G.f. A(x) satisfies: 1 = ∑_n=-oo..oo (-x)^n*(n+1/2) * A(x)^n*(n-1/2), with A(0) = 0. A354661

E.g.f. satisfies: A'(x) = A(x)⁶ * A(-x)⁴ with A(0) = 1. A235374

a(n) = n*(6·n+4). A202804

Expansion of (η(q)*η(q³))/η(q²)² in powers of q. A293306

a(n) = n*(23·n + 1)/2. A22281

Positions of the flipped bits (here they are always set from 0 to 1) in the sequence A059661. A59662

Triangle read by rows giving coefficients in Bernoulli polynomials as defined in A001898, after multiplication by the common denominators A001898(n). A100655