Properties of the Number 59220

Fifty-Nine Thousand Two Hundred Twenty

Basics

Value: 59219 → 59220 → 59221

Parity: even

Prime: No

Previous Prime: 59219

Next Prime: 59221

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 7 × 47

Divisors: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011101010100

Octal: 163524

Duodecimal: 2A330

Hexadecimal: e754

Square: 3507008400

Square Root: 243.35159748807897

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 stacks, or planar partitions of n; also number of weakly unimodal compositions of n. A1523

Sixth partial sums of sixth powers (A001014). A254472

Row sums in A083167. A83170

Number of integer partitions of n in which the even parts appear as often at even positions as at odd positions. A300787

Bisection of A001523. A100506

Expansion of q^1/4 * (η(q) / η(q³))³ in powers of q. A199659

Numbers occurring twice in A068627. A68628

Numbers whose number of divisors equals the sum of their separate prime-power decompositions. A87004

G.f. A(x) satisfies: A(x) = x·f(A(x),A(x)²/x) where f(,) is Ramanujan's θ function; i.e., A(x) = x*∑_n=-oo,+oo A(x)^n*(n+1/2) * (A(x)²/x)^n*(n-1/2). A107945

Numerator of Hermite(n, 21/23). A159947