Properties of the Number 20754

Twenty Thousand Seven Hundred Fifty-Four

Basics

Value: 20753 → 20754 → 20755

Parity: even

Prime: No

Previous Prime: 20753

Next Prime: 20759

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1153

Divisors: 1, 2, 3, 6, 9, 18, 1153, 2306, 3459, 6918

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000100010010

Octal: 50422

Duodecimal: 10016

Hexadecimal: 5112

Square: 430728516

Square Root: 144.06248644251562

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

Number of integer partitions (of any nonnegative integer) whose sum minus the lesser of their maximum part and their number of parts is n. A325232

Numbers k which have a factorization k = f1·f2*...*fr where the digits of {k, f1, f2, ..., fr} together give 0,1,...,9 exactly once. A370970

Number of ascent sequences avoiding the pattern 120. A202061

Composite numbers with properties that its digits (which may appear with multiplicity) may not appear in any of its factors (wherein the digits may also appear with multiplicity) and the combined digits of the product and the factors must have at least one of each of the ten digits. A370972

Convolution of A000108 (Catalan numbers) with A040075. A45505

A triangle related to A000108 (Catalan) and A000302 (powers of 4). A46527

Numbers k which use half of the ten digits such that they have at least one factorization k=p·q that uses remaining half of the digits that are not in k. A195814

Numbers n = p·q, where n, p, and q together contain all 10 digits at least once. A253172

Numbers k such that 7·10^k + 57 is prime. A270974

a(n) = 256·n² + 2·n. A158230