Properties of the Number 11816

Eleven Thousand Eight Hundred Sixteen

Basics

Value: 11815 → 11816 → 11817

Parity: even

Prime: No

Previous Prime: 11813

Next Prime: 11821

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 7 × 211

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 211, 422

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10111000101000

Octal: 27050

Duodecimal: 6A08

Hexadecimal: 2e28

Square: 139617856

Square Root: 108.70142593360954

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

Numbers n such that Bernoulli number B_n has denominator 870. A272185

Numbers m such that m and m+1 are consecutive lazy-Fibonacci-Niven numbers (A328212). A328213

Number of integer partitions of n such that the dual of the multiset partition obtained by factoring each part into prime numbers is a (strict) antichain, also called T₁ integer partitions. A326977

E.g.f. satisfies A(x) = exp( x * (1+x)² * A(x) ). A362772

Expansion of e.g.f. exp(x² * (exp(x) - 1)). A240989

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. exp(x^k * (exp(x) - 1)). A292892

Numbers m such that the GCD of the x's that satisfy σ(x) = m is 3. A241648

Integer part of Gauss's Arithmetic-Geometric Mean M(2,n³). A127764

Number of compositions of 2n into n parts where differences between neighboring parts are in {-1,1}. A364529

G.f.: ∑_k>=0 x^k² / ∏_j=1..k (1 - x^2·j-1)². A376581