Properties of the Number 90200

Ninety Thousand Two Hundred

Basics

Value: 90199 → 90200 → 90201

Parity: even

Prime: No

Previous Prime: 90199

Next Prime: 90203

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 ² × 11 × 41

Divisors: 1, 2, 4, 5, 8, 10, 11, 20, 22, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000001011000

Octal: 260130

Duodecimal: 44248

Hexadecimal: 16058

Square: 8136040000

Square Root: 300.33314835362415

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 parts of even multiplicities in all the partitions of n. A264400

Integer part of log(n!)^{1 + log(1 + log(1 + n})). A62445

a(0) = a(1) = 1; a(n) = -∑_k=0..n-2 binomial(n-2,k) * a(k) * a(n-k-2). A351879

Irregular triangle read by rows: dimensions of the irreducible representations of the symmetric group S_n. A117506

Irregular table read by rows: T(n, k) is the coefficient of x^k in the chromatic polynomial of the 1-skeleton of the n-dimensional cross polytope, 0 <= k <= 2n. A334279

a(n) = N(7,n), where N(7,x) is the 7th Narayana polynomial. A90200

T(n, k) = ∑_{i=0, n} (∑_{j=0, k} C(i+j,i) * C(n-i+j,n-i) * C(i+k-j,k-j) * C(n-i+k-j,n-i)). A186753