Properties of the Number 32890

Thirty-Two Thousand Eight Hundred Ninety

Basics

Value: 32889 → 32890 → 32891

Parity: even

Prime: No

Previous Prime: 32887

Next Prime: 32909

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 11 × 13 × 23

Divisors: 1, 2, 5, 10, 11, 13, 22, 23, 26, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1000000001111010

Octal: 100172

Duodecimal: 1704A

Hexadecimal: 807a

Square: 1081752100

Square Root: 181.3560034848585

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) = 3·binomial(4·n-1, n-1)/(4·n-1). A6632

a(3n+k) = (k+1)*binomial(4n+k, n)/(3n+k+1), where k is n reduced mod 3. A124753

Alkane (or paraffin) numbers l(8,n). A5995

Number of necklaces with 7 black beads and n-7 white beads. A32192

Numbers k which have a factorization k = f1·f2*...*fr where the digits of {k, f1, f2, ..., fr} together give 0,1,...,9 exactly once. A370970

a(n) = floor(C(n,6)/7). A11797

Number of reversible strings with n-1 beads of 2 colors. 5 beads are black. String is not palindromic. A32092

Triangle where g.f. S = S(x,m) satisfies: S = x/(G(-S²)*G(-m·S²)) such that G(x) = 1 + x·G(x)² is the g.f. of the Catalan numbers (A000108), as read by rows of coefficients T(n,k) of x^2·n-1*m^k in S(x,m) for n>=1, k=0..n-1. A278880

One half of binomial coefficients C(2·n-4,5). A53132

Smallest heptagonal number with n distinct prime factors. A156238