Properties of the Number 64190

Sixty-Four Thousand One Hundred Ninety

Basics

Value: 64189 → 64190 → 64191

Parity: even

Prime: No

Previous Prime: 64189

Next Prime: 64217

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 × 7 ² × 131

Divisors: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101010111110

Octal: 175276

Duodecimal: 31192

Hexadecimal: fabe

Square: 4120356100

Square Root: 253.357454991954

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 compositions (ordered partitions) of n into powers of 4. A87221

Total number of parts greater than 1 in all partitions of n minus the number of partitions of n into parts each less than n. A198381

G.f. satisfies A(x) = 1 + x·A(x)*f(x)³, where f(x) = ∑_k>=0 x^{(4^k-1}/3). A87222

G.f.: A(x) = F(x·G(x)²)² where F(x) = G(x/F(x)) = 1 + x·F(x)² is the g.f. of A000108 (Catalan) and G(x) = F(x·G(x)) = 1 + x·G(x)³ is the g.f. of A001764. A153297

Number of fixed tree-like convex polyominoes. A196593

Number of permutations of [n] avoiding {1324, 3421, 3241}. A294806

a(n) = [xⁿ] 1/(1 - ∑_k>=1 kⁿ*x^2·k/(1 - x^k)). A321263

Number of rational points of Klein curve over GF(2ⁿ). A48635

Triangle T(n,k) generalizing the tangent numbers. A64190

Indices of records in A091719 (greatest common divisors of consecutive partition numbers). A334728