Properties of the Number 23240

Twenty-Three Thousand Two Hundred Forty

Basics

Value: 23239 → 23240 → 23241

Parity: even

Prime: No

Previous Prime: 23227

Next Prime: 23251

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 × 7 × 83

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101011001000

Octal: 55310

Duodecimal: 11548

Hexadecimal: 5ac8

Square: 540097600

Square Root: 152.44671200127604

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) = (2·n-1)*(13·n²-13·n+6)/6. A63493

Number of partitions of n containing a clique of size 10. A183567

Numbers m such that the GCD of the x's that satisfy σ(x) = m is 4. A241649

E.g.f.: exp(1 / (1 - arcsinh(x)) - 1). A331616

Rectangular array read by antidiagonals: a(n, k) is the number of ways to put k labeled objects into n labeled boxes so that there is one box with exactly one object (n, k >= 1). A131104

Numbers k such that card({x|σ(x)=k}) > 1 and (∑_σ(x)=k x) < k. A258931

a(n) = n*(n² + 3·n - 2)/2. A256857

For positive n with prime decomposition n = ∏_j=1..m (p_j^k_j) define A_n = ∑_j=1..m (p_j*k_j) and B_n = ∑_j=1..m (p_j^k_j). This sequence gives those n for which A_n and B_n are both prime and B_n = A_n + 2 (i.e., form a twin prime pair). A185718

Integers n such that n!/(n-2) + 1 is prime. A271376

Numbers with property that both the digit sum and the sum of the prime factors (counted with multiplicity) have only digits 0 and 1 in base 10. A297614