Properties of the Number 19960

Nineteen Thousand Nine Hundred Sixty

Basics

Value: 19959 → 19960 → 19961

Parity: even

Prime: No

Previous Prime: 19949

Next Prime: 19961

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 5 × 499

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 499, 998

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110111111000

Octal: 46770

Duodecimal: B674

Hexadecimal: 4df8

Square: 398401600

Square Root: 141.27986409959487

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 k such that prime(k) divides primorial(j) + 1 for exactly three integers j. A283928

Number of n-digit 7-smooth numbers (A002473). A85630

Number of n X 5 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201274

Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n-1. A211141

Numerators of the convolutory inverse of the primes of the form 4m+3. A225128

Number of arrangements of 3 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero. A189499

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 270", based on the 5-celled von Neumann neighborhood. A271089

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, -1, 1), (0, 1, -1), (1, 0, 1)}. A148933

T(n,k) = number of n X k 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201277

a(n) = (6·n)!*(5·n)!*(2·n)! / ((4·n)!² * (3·n)! * n!²). A364511