Properties of the Number 39960

Thirty-Nine Thousand Nine Hundred Sixty

Basics

Value: 39959 → 39960 → 39961

Parity: even

Prime: No

Previous Prime: 39953

Next Prime: 39971

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 5 × 37

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110000011000

Octal: 116030

Duodecimal: 1B160

Hexadecimal: 9c18

Square: 1596801600

Square Root: 199.8999749874922

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 T(n,k) of colored integer partitions of n using all colors of a k-set such that all parts have different color patterns and a pattern for part i has i distinct colors in increasing order; triangle T(n,k), n>=0, min(j:A001787(j)>=n)<=k<=n, read by rows. A326914

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element. A250913

a(n) = 9·a(n-1) - 7·a(n-2), with a(0)=0, a(1)=1. A190984

Numbers with prime factorization p·q*r³*s³ (where p, q, r, s are distinct primes). A190108

Number of partitions p of n such that median(p) < mean(p). A240217

Coefficients in expansion of E₈*δ² where δ is the generating function of Ramanujan's τ function (A000594). A290180

Numbers whose set of base 6 digits is {0,5}. A97252

a(n) = 8000·n - 40. A157660

Number of 3-step king's tours on an n X n board summed over all starting positions. A186862

a(n) = 1600·n² - 40. A158773