Properties of the Number 20164

Twenty Thousand One Hundred Sixty-Four

Basics

Value: 20163 → 20164 → 20165

Parity: even

Prime: No

Previous Prime: 20161

Next Prime: 20173

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 71 ²

Divisors: 1, 2, 4, 71, 142, 284, 5041, 10082, 20164

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100111011000100

Octal: 47304

Duodecimal: B804

Hexadecimal: 4ec4

Square: 406586896

Square Root: 142

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) = (6·n + 4)². A16958

a(n) = (11·n + 10)². A17510

Squares with initial digit '2'. A45785

Numbers k such that 100k+1, 100k+3, 100k+7, 100k+9 are all primes. A64687

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum. A258894

Expansion of e.g.f.: exp(4·x/(1-x)) / sqrt(1-x²). A202827

Numbers k such that the sum of cubes of divisors of k and the sum of 4th powers of divisors of k are relatively prime. A46685

a(n) = 13·n² + 10·n + 1. A161587

T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with 2 X 2 subblock sum of squares lexicographically nondecreasing rowwise and nonincreasing columnwise. A235521

Squares of number of partitions into distinct parts. A304990