Properties of the Number 17640

Seventeen Thousand Six Hundred Forty

Basics

Value: 17639 → 17640 → 17641

Parity: even

Prime: No

Previous Prime: 17627

Next Prime: 17657

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 7 ²

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010011101000

Octal: 42350

Duodecimal: A260

Hexadecimal: 44e8

Square: 311169600

Square Root: 132.81566172707193

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

Triangle T(n,k) = k! * Stirling1(n,k), 1<=k<=n. A48594

Number triangle T(n,k) = C(n,n-k)*C(n+1,n-k). A103371

Expansion of e.g.f.: exp(x²/(1-x)). A52845

Heinz numbers of supernormal integer partitions. A317246

Number T(n,k) of primitive (= aperiodic) n-bead necklaces with colored beads of exactly k different colors; triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. A254040

Coefficient triangle of generalized Laguerre polynomials n!*L(n,2,x) (rising powers of x). A62139

Triangle read by rows: T(n,k) is the number of n-bead necklaces with exactly k different colored beads. A87854

a(1) = 1; a(n) = n * ∑_k=1..n-1 a(k). A74143

Number T(n,k) of endofunctions on [n] where the smallest cycle length equals k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A246049

Triangle read by rows: A001263·A127648 as infinite lower triangular matrices. A132813