Properties of the Number 920

Nine Hundred Twenty

Basics

Value: 919 → 920 → 921

Parity: even

Prime: No

Previous Prime: 919

Next Prime: 929

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 × 23

Divisors: 1, 2, 4, 5, 8, 10, 20, 23, 40, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011000

Octal: 1630

Duodecimal: 648

Hexadecimal: 398

Square: 846400

Square Root: 30.331501776206203

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) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

a(1) = 1 and a(n) = ceiling((∑_k=1..n-1 a(k))/3) for n >= 2. A72493

Number of partitions of n into at most 4 parts. A1400

Number of partitions of n in which the greatest part is 4. A26810

Multiples of 20 containing a 20 in their decimal representation. A121040

Numbers n such that BCR(n) = n, where BCR = binary-complement-and-reverse = take one's complement then reverse bit order. A35928

Number of integer partitions of n in which no two distinct parts are relatively prime. A328673

Write n in binary, then increase each run of 0's by one 0, and increase each run of 1's by one 1. a(n) is the decimal equivalent of the result. A175046

Expansion of 1 + ∑_k>0 x^k^2/((1-x)(1-x²)...(1-x^2k)). A122129

Multiples of 20. A8602