Properties of the Number 19970

Nineteen Thousand Nine Hundred Seventy

Basics

Value: 19969 → 19970 → 19971

Parity: even

Prime: No

Previous Prime: 19963

Next Prime: 19973

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 1997

Divisors: 1, 2, 5, 10, 1997, 3994, 9985, 19970

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111000000010

Octal: 47002

Duodecimal: B682

Hexadecimal: 4e02

Square: 398800900

Square Root: 141.315250415516

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

a(n) = n*(5·n² - 3)/2. A63522

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253841

G.f. satisfies: A(x - A(x)²) = x + 4·A(x)². A277300

Expansion of ∏_k>=1 1/(1-x^k+3)^k. A263359

A bisection of A063522. A160699

Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=2∣x-y|-|y-z|. A212577

Table read by antidiagonals upward: T(n,k) is the number of ways to move a chess queen from (1,1) to (n,k) in the first quadrant using only up, right, and diagonal up-left moves. A334017

Expansion of φ(-q³) / f(-q)² in powers of q where φ(), f() are Ramanujan θ functions. A137685

Number of distinct solutions of sum{i=1..4}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1. A180775

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253835