Properties of the Number 68390

Sixty-Eight Thousand Three Hundred Ninety

Basics

Value: 68389 → 68390 → 68391

Parity: even

Prime: No

Previous Prime: 68389

Next Prime: 68399

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 7 × 977

Divisors: 1, 2, 5, 7, 10, 14, 35, 70, 977, 1954

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000101100100110

Octal: 205446

Duodecimal: 336B2

Hexadecimal: 10b26

Square: 4677192100

Square Root: 261.5148179358103

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

E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = ∑_n>=0 ∑_k>=0 T(n,k) * xⁿ*y^k/(n+k)!, as a square table of coefficients T(n,k) read by antidiagonals. A322620

E.g.f.: C(x,y) = cosh(x)*cosh(y) / (1 - sinh(x)*sinh(y)), where C(x,y) = ∑_n>=0 ∑_k=0..2·n T(n,k) * x^2·n-k*y^k/(2·n)!, as a triangle of coefficients T(n,k) read by rows. A322621

a(n) = [xⁿ*yⁿ/(2·n)!] = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), for n >= 0. A322624

Numbers k such that σ(k) = 4*φ(k). A68390

E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = ∑_n>=0 ∑_k>=0 T(n,k) * xⁿ*y^k/(n!*k!), as a square table of coefficients T(n,k) read by antidiagonals. A322190

E.g.f.: C(x,y) = cosh(x)*cosh(y) / (1 - sinh(x)*sinh(y)), where C(x,y) = ∑_n>=0 ∑_k=0..2·n T(n,k) * x^2·n-k*y^k/((2·n-k)!*k!), as a triangle of coefficients T(n,k) read by rows. A322193

E.g.f.: S(x,y) = (sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where S(x,y) = ∑_n>=0 ∑_k=0..2·n+1 T(n,k) * x^2·n+1-k*y^k/(2·n+1)!, as a triangle of coefficients T(n,k) read by rows. A322622