Properties of the Number 10816

Ten Thousand Eight Hundred Sixteen

Basics

Value: 10815 → 10816 → 10817

Parity: even

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 13 ²

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 64

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101001000000

Octal: 25100

Duodecimal: 6314

Hexadecimal: 2a40

Square: 116985856

Square Root: 104

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

Scaled Chebyshev U-polynomials evaluated at i. Generalized Fibonacci sequence. A57087

Perfect powers of nonsquarefree numbers k that are not squareful. A386762

Infinite lower triangular matrix, M, that satisfies [M²](i,j) = M(i+1,j+1) for all i,j>=0 where [Mⁿ](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0. A78121

a(n) = (4·n)². A16802

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

Number of n X 2 array permutations with each element making zero or one knight moves. A189145

a(n) = (3n+2)². A16790

Denominator of 1/64 - 1/n². A61050

Numbers whose product of prime indices is twice their sum of prime indices. A326151

Squares whose digit sum is also a square. A53057