Properties of the Number 36120

Thirty-Six Thousand One Hundred Twenty

Basics

Value: 36119 → 36120 → 36121

Parity: even

Prime: No

Previous Prime: 36109

Next Prime: 36131

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 7 × 43

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110100011000

Octal: 106430

Duodecimal: 18AA0

Hexadecimal: 8d18

Square: 1304654400

Square Root: 190.0526242912736

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 n-step walks on square lattice in the first quadrant which finish at distance n-3 from the x-axis. A5564

Numbers n such that the multiplicative group modulo n is the direct product of 6 cyclic groups. A272596

Numbers with prime factorization pqrst³. A189984

Numbers n such that {largest m such that 1, 2, ..., m divide n} is different from {largest m such that m! divides n²}. A232099

a(n) can be expressed as the difference of the squares of consecutive primes in just three distinct ways. A90783

Triangle read by rows: T(n,h) = number of functions f:{1,2,...,n}->{1,2,...,n-1} such that |Image(f)|=h, h=1,2,...,n-1, n=2,3,... A101819

Triangle read by rows: T(n,h) = number of functions f:{1,2,...,n}->{1,2,...,n-2} such that |Image(f)|=h, h=1,2,...,n-2; n=3,4,.... A101821

Expansion of e.g.f. 1/(1 - (x * (exp(x) - 1))³ / 36). A353884

First differences of A069474, successive differences of (n+1)⁶-n⁶. A69475

Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k columns of even length (0 <= k < n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column. A121748