Properties of the Number 10870

Ten Thousand Eight Hundred Seventy

Basics

Value: 10869 → 10870 → 10871

Parity: even

Prime: No

Previous Prime: 10867

Next Prime: 10883

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 1087

Divisors: 1, 2, 5, 10, 1087, 2174, 5435, 10870

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001110110

Octal: 25166

Duodecimal: 635A

Hexadecimal: 2a76

Square: 118156900

Square Root: 104.25929215182693

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

Convolution square of A000219. A161870

Number of partitions of n such that smaller parts do not occur more frequently than greater parts. A171979

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the four sums of the central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically. A254568

Expansion of ∏_k>=1 (1 + k·x^k²)^k. A285242

a(n) = ∑_{k=1..floor(n/2)} T(n, 2k), array T as in A049777. A49779

G.f. A(x) satisfies: ∑_n>=0 (-1)ⁿ * ∏_k=1..n x^n+1-k + (-A(x))^k = 1. A306089

Records in A087669. A192230

a(n) = (8·n³ + 3·n² + n) / 6. A219054

Numbers k such that 285·2^k-1 is prime. A50901

Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the four sums of the central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically. A254560