Properties of the Number 10630

Ten Thousand Six Hundred Thirty

Basics

Value: 10629 → 10630 → 10631

Parity: even

Prime: No

Previous Prime: 10627

Next Prime: 10631

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 1063

Divisors: 1, 2, 5, 10, 1063, 2126, 5315, 10630

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110000110

Octal: 24606

Duodecimal: 619A

Hexadecimal: 2986

Square: 112996900

Square Root: 103.10189135025604

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 A(n,k) of n-member subsets of [k·n] whose elements sum to a multiple of k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A318557

Number of rooted twice-partitions of n. A301480

Number A(n,k) of n-element subsets of [k·n] whose elements sum to a multiple of n. Square array A(n,k) with n, k >= 0 read by antidiagonals. A304482

Expansion of 1 / ∏_n>=0 (1-q⁵ⁿ⁺¹)(1-q⁵ⁿ⁺²)(1-q⁵ⁿ⁺³). A107234

a(n) = ∑_d∣n d² * (d+1)/2. A278403

Number of n-element subsets of [5n] whose elements sum to a multiple of n. A318433

Number of n-member subsets of [n²] whose elements sum to a multiple of n. A318477

Number of binary words of length n containing at least one subword 10⁷1 and no subwords 10ⁱ1 with i<7. A143287

Total sum of parts of multiplicity 3 in all partitions of n. A222731

Number of compositions of n if only the order of the even numbers matter. A275592