Properties of the Number 36789

Thirty-Six Thousand Seven Hundred Eighty-Nine

Basics

Value: 36788 → 36789 → 36790

Parity: odd

Prime: No

Previous Prime: 36787

Next Prime: 36791

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 12263

Divisors: 1, 3, 12263, 36789

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111110110101

Octal: 107665

Duodecimal: 19359

Hexadecimal: 8fb5

Square: 1353430521

Square Root: 191.80458805774174

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

Smallest number with n = sum of distinct digits in decimal representation, cf. A217928. A227378

Number of balanced signed graphs on n unlabeled nodes. A34892

a(n) is the smallest k such that number of non-unitary prime divisors of central binomial coefficient, A000984(k) = C(2·k,k) equals n. A81393

a(n) is the smallest value of k such that number of non-unitary prime divisors of k-th Catalan number, A000108(k) = C(2·k,k)/(k+1) equals n. A81395

Number of 5-element subsets of [n] whose sum is a triangular number. A320851

Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) <= cn(1,5) + cn(4,5). A39879

Append three digits, each increasing by one modulo 10 from the last digit of the nonnegative integers. 0 -> 123, 1 -> 1234 2 -> 2345, ... , 9 -> 9012, 10 -> 10123, etc. A167231

Number of partitions of [2n] whose block maxima sum to 3n. A365441

a(n) = ∑_i=0..n floor((2·i + 2)/(n - i + 1)). A36789

Number of binary arrays of length 2·n+6 with no more than n ones in any length 2n subsequence (=50% duty cycle). A212408