Properties of the Number 36960

Thirty-Six Thousand Nine Hundred Sixty

Basics

Value: 36959 → 36960 → 36961

Parity: even

Prime: No

Previous Prime: 36947

Next Prime: 36973

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 7 × 11

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 11

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000001100000

Octal: 110140

Duodecimal: 19480

Hexadecimal: 9060

Square: 1366041600

Square Root: 192.24983745116666

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 certain partition array in Abramowitz-Stegun order (A-St order), called M₃(6). A134278

Triangle read by rows: T(n,k) = 2^n-k*prime(k)#, 1 <= k <= n, where prime(k)# is the product of first k primes. A303555

a(n) = n*(n+1)*(5·n+1)/6. A33994

Numbers k that divide the number of partitions of k into distinct parts (A000009). A56848

Triangle read by rows where T(n,k) is the number of labeled loop-graphs on n vertices with k loops and n-k non-loops such that it is possible to choose a different vertex from each edge. A368924

Members of A025487 whose prime signature is self-conjugate (as a partition). A181825

Members of A025487 such that A025487(n) >= A181822(n). A181826

a(n) = ∏_k=1..n (16 - 4/k). A216702

Numbers n which are palindromic in more bases b, 1<b<n, than any previous number. A107129

Smallest numbers having exactly n divisors d>1 such that also d+1 is a divisor. A88726