Properties of the Number 19639

Nineteen Thousand Six Hundred Thirty-Nine

Basics

Value: 19638 → 19639 → 19640

Parity: odd

Prime: No

Previous Prime: 19609

Next Prime: 19661

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 41 × 479

Divisors: 1, 41, 479, 19639

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110010110111

Octal: 46267

Duodecimal: B447

Hexadecimal: 4cb7

Square: 385690321

Square Root: 140.13921649559768

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 nXk 0..6 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200935

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²+x²+y²>=n. A211641

Members of A038512 of the form k, k+2, k+6, k+8. A155511

Number of nX2 0..6 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200931

G.f.: (1+2x)(1+2x+4x²)/(1-3x-8x³-8x⁴). A246038

Number of different coefficient values in expansion of ∏_k=1..n (1+x^k²). A369786

Number of powerful numbers that are not prime powers that do not exceed 10ⁿ. A381496

Decimal expansion of sqrt(2*π*e)/13. A19639

Number of length 5+1 0..n arrays with the sum of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250170

O.g.f. A(x) satisfies: [xⁿ] exp(-n·x*A(x)) * (n+1 - n/A(x)) = 0 for n>=1. A316703