Properties of the Number 10750

Ten Thousand Seven Hundred Fifty

Basics

Value: 10749 → 10750 → 10751

Parity: even

Prime: No

Previous Prime: 10739

Next Prime: 10753

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 ³ × 43

Divisors: 1, 2, 5, 10, 25, 43, 50, 86, 125, 215

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111111110

Octal: 24776

Duodecimal: 627A

Hexadecimal: 29fe

Square: 115562500

Square Root: 103.6822067666386

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

The number of rectangles (orthogonal or not) with corners on an n X n grid of points. A85582

Number of integer partitions of n with weighted alternating sum 0. A363532

G.f. A(x) satisfies A(x) = 1 + x·A(x) / (1 - x·A(x)⁵). A364734

Expansion of g.f. A(x) satisfying 2 = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (2·A(x) + x^2·n-1)ⁿ⁺¹. A363182

Partial sums of ceiling(n²/4). A175287

Numerators of continued fraction convergents to sqrt(938). A42814

Number of 9's in the last section of the set of partitions of n. A206559

a(n) is the number of distinct triangles whose sides do not pass through a grid point and whose vertices are three points of an n X n grid. A372217

Number of nontrivial divisors of n!. A337106

a(n) is the Wiener index of a broom on 2n vertices of which n+2 are pendant. A349416