Properties of the Number 75840

Seventy-Five Thousand Eight Hundred Forty

Basics

Value: 75839 → 75840 → 75841

Parity: even

Prime: No

Previous Prime: 75833

Next Prime: 75853

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 5 × 79

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100001000000

Octal: 224100

Duodecimal: 37A80

Hexadecimal: 12840

Square: 5751705600

Square Root: 275.3906316489361

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

Numbers k such that A344753(k) is a multiple of A048250(k), and k is a multiple of A344753(k)/A048250(k). A344755

(1+e)-σ perfect numbers: (1+e) - σ(x) = 2·x. A49603

E.g.f.: A(x) = ∏_n>=1 (1 + 4·xⁿ/n)ⁿ. A182967

Recursive perfect numbers: numbers k such that A333926(k) = 2·k. A333927

G.f. satisfies: A(x) = x·exp( ∑_n>=1 A(2ⁿ*xⁿ) / n ). A229901

Expansion of e.g.f. cos(tan(x)*sin(x)) (even powers only). A9078

Number of directed Hamiltonian paths of the Platonic graphs (in the order of tetrahedral, cubical, octahedral, dodecahedral, and icosahedral graph). A358960

Number of closed knight's tour diagrams of a 3 X n chessboard that are symmetric with respect to left-right reflection about a vertical axis. A169765

Primes of the form (2·n)!/(n!)²+1. A75840