Properties of the Number 59760

Fifty-Nine Thousand Seven Hundred Sixty

Basics

Value: 59759 → 59760 → 59761

Parity: even

Prime: No

Previous Prime: 59753

Next Prime: 59771

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 5 × 83

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110100101110000

Octal: 164560

Duodecimal: 2A700

Hexadecimal: e970

Square: 3571257600

Square Root: 244.45858544956036

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7. A251923

a(n) = ∑_k=0..n k·binomial(n-k, 2·k). A136444

Coefficients in quasimodular form F₂(q) of level 1 and weight 6. A126858

Inverse BINOMIAL transform of A335691. A335692

Number of polycubes of size n and symmetry class CE. A376979

Number of binary strings of length n with equal numbers of 00100 and 11011 substrings. A164243

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7. A251918

Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7. A251921

a(n) = n! * ∑_k=1..n k²/floor(n/k). A342933

a(n) is the number of edges (one-dimensional faces) in the convex polytope of real n X n doubly stochastic matrices. A59760