Properties of the Number 20097

Twenty Thousand Ninety-Seven

Basics

Value: 20096 → 20097 → 20098

Parity: odd

Prime: No

Previous Prime: 20089

Next Prime: 20101

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 11 × 29

Divisors: 1, 3, 7, 9, 11, 21, 29, 33, 63, 77

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111010000001

Octal: 47201

Duodecimal: B769

Hexadecimal: 4e81

Square: 403889409

Square Root: 141.7638882085279

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

Expansion of 1/(1 - x + x² - x³ - x⁶ - x⁹ + x¹⁰ - x¹¹ + x¹²). A225499

Array read by antidiagonals, giving the sizes pi_l(c_l(m,n)) of minimal covers (see reference for precise definition). A133713

a(n) = n*(n+5)*(n+6)*(n+7)/24. A5587

Number of compositions of n into 6 ordered relatively prime parts. A23031

Triangles in open triangular matchstick arrangement (triangle minus one side) of side n. A45947

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace. A185845

Numbers n = concat(a,b) such that φ(n) = φ(a) * φ(b), where φ = A000010. A147619

Partial sums of second pentagonal numbers with even index (A049453). A51895

The Wiener index of the ortho-polyphenyl chain with n hexagons (see the Dou et al. and the Deng references). A216108

40-gonal numbers: a(n) = 38·n*(n-1)/2 + n. A261191