Properties of the Number 36420

Thirty-Six Thousand Four Hundred Twenty

Basics

Value: 36419 → 36420 → 36421

Parity: even

Prime: No

Previous Prime: 36389

Next Prime: 36433

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 607

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111001000100

Octal: 107104

Duodecimal: 190B0

Hexadecimal: 8e44

Square: 1326416400

Square Root: 190.84024732744402

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 of partitions of n into parts not of the form 15k, 15k+2 or 15k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 6 are greater than 1. A35956

The first Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1). A292344

Number of (binary) max-heaps on n elements from the set {0,1} containing exactly eight 0's. A326509

a(n) = ∑_k=0..n k·A349976(n, k). A349973

Number of fixed points in all 132- and 213-avoiding permutations of {1,2,...,n} (these are permutations with runs consisting of consecutive integers). A68018

Molecular topological index of the n-necklace graph. A390874

Number of 6-block ordered bicoverings of an unlabeled n-set. A60094

Number of ternary rooted trees with n nodes and height exactly 5. A36420