Properties of the Number 36890

Thirty-Six Thousand Eight Hundred Ninety

Basics

Value: 36889 → 36890 → 36891

Parity: even

Prime: No

Previous Prime: 36887

Next Prime: 36899

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 7 × 17 × 31

Divisors: 1, 2, 5, 7, 10, 14, 17, 31, 34, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000000011010

Octal: 110032

Duodecimal: 19422

Hexadecimal: 901a

Square: 1360872100

Square Root: 192.067696398952

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

Numbers that are the sum of four third powers in exactly seven ways. A345151

Number of fixed polypons with n cells (division into triangles is significant). A196993

Numbers k such that ω(k) = 5 and the largest prime factor of k equals the sum of its remaining distinct prime factors, where ω(k) = A001221(k). A383729

Numbers n such that sum of distinct primes dividing n is divisible by the largest prime dividing n. Also n is neither a prime, nor a true power of prime and n is squarefree. Squarefree solutions of A071140. A71141

Sum of numerator and denominator in a rational approximation j/k of q = log(2)/log(3), such that q - j/k is a new minimum, i.e., q is approximated from below. A355514

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that min(x(i) - x(i-1)) is not a part of p. A241761

a(n) = n*(n + 1)*(4·n - 1)/3. A268684

Sum of numerator and denominator in a rational approximation j/k of q = log(2)/log(3), such that abs(j/k - q) is a new minimum. A355513

Squarefree numbers k such that the largest prime factor of k is equal to the sum of the other prime factors of k. A71312

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+5x+5y>0. A211627