Properties of the Number 59364

Fifty-Nine Thousand Three Hundred Sixty-Four

Basics

Value: 59363 → 59364 → 59365

Parity: even

Prime: No

Previous Prime: 59359

Next Prime: 59369

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 17 × 97

Divisors: 1, 2, 3, 4, 6, 9, 12, 17, 18, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1110011111100100

Octal: 163744

Duodecimal: 2A430

Hexadecimal: e7e4

Square: 3524084496

Square Root: 243.64728605096343

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

G.f. A(x) satisfies: x = ∑_n>=1 xⁿ*A(-x)^σ(n), where σ(n) = sum of divisors of n (A000203). A193038

Number of (7+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250661

Four-column array read by rows: T(n,k) for k=0..3 is the k-th component of the vector obtained by multiplying the n-th power of the 4 X 4 matrix (1,1,1,1; 7,3,1,0; 12,2,0,0; 6,0,0,0) and the vector (1,1,1,1). A95797

Triangle T(n,k)=∑_i=0..n |stirling1(n,n-i)|*binomial(i,k), k=0..n-1. A59364