Properties of the Number 90013

Ninety Thousand Thirteen

Basics

Value: 90012 → 90013 → 90014

Parity: odd

Prime: No

Previous Prime: 90011

Next Prime: 90017

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 ² × 11 × 167

Divisors: 1, 7, 11, 49, 77, 167, 539, 1169, 1837, 8183

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101111110011101

Octal: 257635

Duodecimal: 44111

Hexadecimal: 15f9d

Square: 8102340169

Square Root: 300.0216658843158

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

T(n,k) = Number of lower triangles of an n X n integer array with all row and column sums zero and all row and column sums of squares <= 2k². A195892

Numbers n not of the form i²+(i+1)² such that there are integers a < b with a²+(a+1)²+...+(n-1)² = n²+(n+1)²+...+b². A94523

Triangle T(n,k) read by rows: fibonomial coefficients sums triangle. A305695

Number of lower triangles of an n X n integer array with all row and column sums zero and all row and column sums of squares <=8. A195886

Number of lower triangles of a 6X6 integer array with all row and column sums zero and all row and column sums of squares <= 2n². A195894

Numbers n such that A = n - digitsum(n) is divisible by the largest power of 10 <= A. A242474

Thue-Morse sequence: let A_k denote the first 2^k terms; then A₀ = 0 and for k >= 0, A_k+1 = A_k B_k, where B_k is obtained from A_k by interchanging 0's and 1's. A10060

Prime powers: numbers of the form p^k where p is a prime and k >= 1. A246655

a(2n) = a(n) + a(n+1), a(2n+1) = 2a(n+1), if n >= 2. A5942

Decimal expansion of Ni₁ = (1/2)*(γ - log(2*π)) + 1, where γ is Euler's constant (or the Euler-Mascheroni constant). A321943