Properties of the Number 10680

Ten Thousand Six Hundred Eighty

Basics

Value: 10679 → 10680 → 10681

Parity: even

Prime: No

Previous Prime: 10667

Next Prime: 10687

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 89

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100110111000

Octal: 24670

Duodecimal: 6220

Hexadecimal: 29b8

Square: 114062400

Square Root: 103.3440854621105

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

Row sums of A168281. A168380

Even octagonal numbers: a(n) = 4·n*(3·n-1). A14642

Number of points of L1 norm 3 in cubic lattice Zⁿ. A35597

Triangular array T(n,k) = Fibonacci(k+4)*C(n,k), k=0..n, n>=0. A94439

Triangular array T(n,k) = Fibonacci(n+4-k)*C(n,k), k=0..n, n>=0. A94444

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum. A258894

Sum of the squarefree parts of the partitions of n into 7 parts. A309482

G.f. 1/(1-sum(n=1,N,x^n*(3·n-1/2))). A181324

Expansion of ∏_k>=1 (1 + 5·x^k). A261569

Expansion of x²*(2 - x + x²) / ((1 + x)*(1 - x)⁴). A26035