Properties of the Number 36520

Thirty-Six Thousand Five Hundred Twenty

Basics

Value: 36519 → 36520 → 36521

Parity: even

Prime: No

Previous Prime: 36497

Next Prime: 36523

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 5 × 11 × 83

Divisors: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111010101000

Octal: 107250

Duodecimal: 19174

Hexadecimal: 8ea8

Square: 1333710400

Square Root: 191.10206696946005

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

Maximal length of rook tour on an n X n board. A6071

Number of ways to write n as an ordered sum of 8 prime powers (including 1). A341137

Maximal length of rook tour on an n X n+2 board. A152133

Floor of sums of the squares of the non-integer cube roots of n, as partitioned by the integer roots: floor(∑_{j=n³+1..(n+1)³-1} j^2/3). A248621

Numerators of continued fraction convergents to sqrt(435). A41828

G.f.: -2*(-2 - 11·x - 4·x² + x³)/(x - 1)⁴. A152110

a(n) is the index of the first occurrence of n in A080071, or 0 for those n>0 which never occur in A080071. A80090

Number of (n+1)X(n+1) -11..11 symmetric matrices with every 2X2 subblock having sum zero and three distinct values. A211711

Number of length 3+1 0..2·n arrays with the sum of the absolute values of adjacent differences equal to 3·n. A249983

Smallest triangular number containing exactly n 3's. A36520