Properties of the Number 10280

Ten Thousand Two Hundred Eighty

Basics

Value: 10279 → 10280 → 10281

Parity: even

Prime: No

Previous Prime: 10273

Next Prime: 10289

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 × 257

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 257, 514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10100000101000

Octal: 24050

Duodecimal: 5B48

Hexadecimal: 2828

Square: 105678400

Square Root: 101.39033484509261

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 integer partitions of n with an alternating permutation. A345170

Number of integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344740

a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n² if n is even. A140113

Partial sums of ceiling(n²/2) (A000982). A131941

T(n,k)=Number of length n+k 0..3 arrays with at most one downstep in every k consecutive neighbor pairs. A258730

Numbers that have 9 terms in their Zeckendorf representation. A179249

Structured hexagonal diamond numbers (vertex structure 5). A100178

Numbers k such that φ(k) is a perfect sixth power. A78166

Expansion of ∑_k>0 x^2·k/(1-x^k)⁴. A363604

Numbers k such that σ(φ(k)) is a prime. A62514