Properties of the Number 27040

Twenty-Seven Thousand Forty

Basics

Value: 27039 → 27040 → 27041

Parity: even

Prime: No

Previous Prime: 27031

Next Prime: 27043

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 5 × 13 ²

Divisors: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110100110100000

Octal: 64640

Duodecimal: 13794

Hexadecimal: 69a0

Square: 731161600

Square Root: 164.43843832875572

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

Expansion of ∏_k>=1 (1 - x^k)¹⁶. A739

Numbers with an equal number of deficient and abundant divisors. A335543

Triangle T(n, k, q) = t(n,q)/(t(k,q)*t(n-k,q)), where t(n, k) = ∏_j=1..n q-Pochhammer(j, k+1, k+1)/(1-(k+1))^j and t(n, 0) = n!, with q = 2, read by rows. A156951

Number of n-permutations in which there is a unique smallest cycle. A224245

a(n) = the number of cubes (of integers > 0) that have bit length n. A365932

Decimal part of a(n)^1/5 starts with a 'nine digits' anagram. A34280

Number of (n+1) X (5+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251085

Number of (n+1) X (6+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251086

Double q-form product triangle:q=3;c(n,q)=Product[(1 - qⁱ)*(1 - q^{i - 1}), {i, 2, n}];t(n,m,q)=c(n,q)/(c(m,q)*c(n-m,q)). A173885

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251088