Properties of the Number 10440

Ten Thousand Four Hundred Forty

Basics

Value: 10439 → 10440 → 10441

Parity: even

Prime: No

Previous Prime: 10433

Next Prime: 10453

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 29

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011001000

Octal: 24310

Duodecimal: 6060

Hexadecimal: 28c8

Square: 108993600

Square Root: 102.17631819555841

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) = n²*(n² + 1)/2. A37270

Expansion of e.g.f. sinh(exp(x)-1). A24429

a(n) = 2·n*(4·n + 1). A33585

Numbers that can be expressed as the difference of the squares of primes in exactly four distinct ways. A92000

Number of compositions of n whose run-lengths are unimodal. A332726

a(n) = binomial(Fibonacci(n) + 1, 2). A33192

Numbers k such that k² is a palindrome when written in base 17. A118651

Square array A(n,k), n>=1, k>=1, read by antidiagonals, with A(1,k)=1 and sequence a_k of column k shifts left when Euler transform applied k times. A144042

G.f.: ∑_n>=0 xⁿ / (1-3·x)^2·n+1 * [∑_k=0..n C(n,k)² * 2^k * x^k] * [∑_k=0..n C(n,k)² * 3^k * x^k]. A246423

Positive numbers that are not the sum of two squares and a positive Fibonacci number. A115176