Properties of the Number 27830

Twenty-Seven Thousand Eight Hundred Thirty

Basics

Value: 27829 → 27830 → 27831

Parity: even

Prime: No

Previous Prime: 27827

Next Prime: 27847

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 × 11 ² × 23

Divisors: 1, 2, 5, 10, 11, 22, 23, 46, 55, 110

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010110110

Octal: 66266

Duodecimal: 14132

Hexadecimal: 6cb6

Square: 774508900

Square Root: 166.82325976913413

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) = ∑_{k=1..n, gcd(n,k) = 1} k³. A53819

Starting points of stapled intervals. A130173

"Stapled" intervals are defined in A090318. Call a stapled interval "minimal" if it does not contain any proper stapled subinterval. Sequence gives starting points of minimal stapled intervals. A130171

Triangle T(n,k) read by rows: T(n,1) = T(n,n)=1, otherwise T(n,k) = (3n-3k+1)*T(n-1,k-1) + k*(3k-2)*T(n-1,k), 1<=k<=n. A166962

Starting points of stapled intervals of length 17. A194585

a(n) = ∑_{1 <= j <= n/2, gcd(j,n)=1} j³. A295575

Coefficients of the twisted K3 elliptic genus attached to the conjugacy class 1A in the Mathieu group M₂₄. A212301

Number of separable partitions of n that consist of an odd number of parts. A325724

a(n) is the number of n-celled fixed rounded polyominoes. A362223

Number triangle T(n,k)=(-1)^n-k*(3k+2)*C(3n+1, n-k)/(2n+k+2). A124821