Properties of the Number 11072

Eleven Thousand Seventy-Two

Basics

Value: 11071 → 11072 → 11073

Parity: even

Prime: No

Previous Prime: 11071

Next Prime: 11083

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁶ × 173

Divisors: 1, 2, 4, 8, 16, 32, 64, 173, 346, 692

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101000000

Octal: 25500

Duodecimal: 64A8

Hexadecimal: 2b40

Square: 122589184

Square Root: 105.22357150372724

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 partitions of n in which each part, with the possible exception of the largest, occurs at least twice. A116931

Number of unimodal compositions of n+2 where the maximal part appears exactly twice. A114921

Number of ways to toss a coin n times and not get a run of five. A135492

Triangle of coefficients of the polynomials (1 - x)ⁿ*A(n,x/(1 - x)), where A(n,x) are the Eulerian polynomials of A008292. A141720

Number of nX2 0..1 arrays with every element equal to 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A298448

a(n) = ∑_{k=0..floor(n/4)} binomial(n-1-3·k,n-4·k) * binomial(2·k,k). A360310

Twice the positions in A051686 at which new primes appear in that sequence. A51861

Expansion of (φ(x) / f(-x⁴))² in powers of·where φ(), f() are Ramanujan θ functions. A227033

Largest integer with sum of digits n in fractional base 4/3. A364779

Expansion of (theta₃(z)*theta₃(15z) + theta₂(z)*theta₂(15z))⁴. A28628