Properties of the Number 63270

Sixty-Three Thousand Two Hundred Seventy

Basics

Value: 63269 → 63270 → 63271

Parity: even

Prime: No

Previous Prime: 63247

Next Prime: 63277

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 19 × 37

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 19

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111011100100110

Octal: 173446

Duodecimal: 30746

Hexadecimal: f726

Square: 4003092900

Square Root: 251.53528579505502

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 (n+1)X(k+1) 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order. A205335

Number of ways to write n as an ordered sum of 9 nonzero triangular numbers. A340954

Expansion of 30·x*(1 + x) / (1 - x)⁴. A316459

a(n) = floor( n*(n-1)*(n-2)*(n-3)/28 ). A11938

T(n,n-6), where T is the array in A055830. A55833

Those primitive elements of A337386 that have exactly one primitive nondeficient divisor (A006039). A341604

Number of (n+1)X4 0..2 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..2 introduced in row major order. A205330

Number of n X 4 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically. A209646

a(n) = n*(n + 1)*(7·n + 11)/6. A255687

G.f.: ∑_k>=0 x^k² * ∏_j=1..k 1/(1 - x^j)³. A376709