Properties of the Number 36100

Thirty-Six Thousand One Hundred

Basics

Value: 36099 → 36100 → 36101

Parity: even

Prime: No

Previous Prime: 36097

Next Prime: 36107

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 ² × 19 ²

Divisors: 1, 2, 4, 5, 10, 19, 20, 25, 38, 50

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000110100000100

Octal: 106404

Duodecimal: 18A84

Hexadecimal: 8d04

Square: 1303210000

Square Root: 190

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

Sum of first n cubes; or n-th triangular number squared. A537

Number of integer partitions of n whose parts do not have the same mean as median. A359894

a(n) = (1/4)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2)*floor((n-3)/2). A28723

Numbers that are the squares of the product of three distinct primes. A162143

Squares whose arithmetic mean of digits is an integer (i.e., the sum of digits is a multiple of the number of digits). A69711

Number of permutations p of (1,2,3,...,n) such that k+p(k) is prime for 1<=k<=n. A73364

a(n) = (5·n)². A16850

a(n) = (6·n + 4)². A16958

T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal. A207208

a(n) = (7·n + 1)². A16994