Properties of the Number 11040

Eleven Thousand Forty

Basics

Value: 11039 → 11040 → 11041

Parity: even

Prime: No

Previous Prime: 11027

Next Prime: 11047

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 23

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101100100000

Octal: 25440

Duodecimal: 6480

Hexadecimal: 2b20

Square: 121881600

Square Root: 105.07140429250958

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(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n² if n is odd. A136047

Strongly refactorable numbers: numbers n such that if n is divisible by d, it is divisible by the number of divisors of d. A141586

Triangle read by rows: T(n,k) is the number of 2-compositions of n having length k (0 <= k <= n). A181289

Numbers k such that σ(x) = k has exactly 8 solutions. A60664

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1)). A233792

Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 3·x + 4. A257622

Sum of the prime parts in the partitions of n into 8 parts. A309469

Numbers of the form p⁵*q·r*s where p, q, r, and s are distinct primes. A179704

Lesser of semi-unitary amicable numbers pair: numbers (m, n) such that susigma(m) = susigma(n) = m + n, where susigma(n) is the sum of the semi-unitary divisors of n (A322485). A322541

E.g.f. satisfies: A(x)^A(x²) = 1 + x. A349650