Properties of the Number 69930

Sixty-Nine Thousand Nine Hundred Thirty

Basics

Value: 69929 → 69930 → 69931

Parity: even

Prime: No

Previous Prime: 69929

Next Prime: 69931

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 5 × 7 × 37

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000100101010

Octal: 210452

Duodecimal: 34576

Hexadecimal: 1112a

Square: 4890204900

Square Root: 264.44281045246817

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

Numbers that are the sum of four third powers in exactly nine ways. A345154

Numbers m such that the largest digit in the decimal expansion of 1/m is 4. A351470

Convolution of A000108 (Catalan numbers) with A038846. A42985

Number of edges in all noncrossing connected graphs on n nodes on a circle. A45741

A triangle related to A000108 (Catalan) and A000302 (powers of 4). A46527

Even numbers k such that the central binomial coefficient A000984(k, k/2) is divisible by k². A80395

a(n) = K₅(n) = ∑_k>=0 A090285(5,k)*2^k*binomial(n,k). a(n) = 2*(2·n⁵+45·n⁴+360·n³+1215·n²+1528·n+315)/15. A90297

Members of A014574 with sum of prime factors (with multiplicity) also in A014574. A349455

E.g.f. A(x) satisfies A(x) = 1/( 1 - 3·x*exp(x·A(x)) )^2/3. A380040

A triangular sequence of coefficients of a PolyLog functional polynomials: p(x,n) = 16·x^{n + 1}*PolyLog(-n, (1 - x)/(1 + x))/((1 + x)*(1 - x)). A142154