Properties of the Number 45870

Forty-Five Thousand Eight Hundred Seventy

Basics

Value: 45869 → 45870 → 45871

Parity: even

Prime: No

Previous Prime: 45869

Next Prime: 45887

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 11 × 139

Divisors: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001100101110

Octal: 131456

Duodecimal: 22666

Hexadecimal: b32e

Square: 2104056900

Square Root: 214.17282740814719

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 diagonal rectangles with corners on an n X n grid of points. A113751

E.g.f.: exp(-1/4! * x⁴ * exp(x)). A292955

Expansion of e.g.f. log( 1 + x⁴ * exp(x) / 4! ). A346752

Andrews's shadow difference function D₃(q). A275633

Denominators of continued fraction convergents to sqrt(682). A42311

a(n) = (C(2n, n)/2 - (2^n-1 + ((n+1) mod 2)*C(n-1, n/2-1)))/2. A42971

Number of inequivalent ways to color the edges of a tetrahedron using at most n colors so that no two adjacent edges have the same color. A282818

Numbers k such that λ(k) = λ(k+2), where λ is the Carmichael λ function (A002322). A333742

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)^n-1)ⁿ⁺¹ for n >= 0. A360231

Number of times the digits are repeated in A045869. A45870