Properties of the Number 99540

Ninety-Nine Thousand Five Hundred Forty

Basics

Value: 99539 → 99540 → 99541

Parity: even

Prime: No

Previous Prime: 99529

Next Prime: 99551

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 7 × 79

Divisors: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010011010100

Octal: 302324

Duodecimal: 49730

Hexadecimal: 184d4

Square: 9908211600

Square Root: 315.4996038032378

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

Largest possible z-value of an integer solution (x,y,z) to 4/n = 1/x + 1/y + 1/z satisfying 0 < x < y < z. The·and y components are in A075245 and A075246. A75247

3ⁿ with digits rearranged into nonincreasing order. A321539

Number of polyhexes with n cells that tile the plane both by translation and by 180-degree rotation (Conway criterion). A75209

Numbers k such that N = k⁶ is a twin rank (cf. A002822: 6N +- 1 are twin primes). A326236

Expansion of ∏_k>=1 ((1 - k·x^k) / (1 - x^k)). A267005

z-value of the lexicographically first solution (x,y,z) of 4/n = 1/x + 1/y + 1/z with 0 < x < y < z all integers, or 0 if there is no such solution. Corresponding·and y values are in A257839 and A257840. A257841

Ulam numbers that are oblong (or promic) numbers. A379828

G.f. satisfies A(x) = 1 + x·cycle_index(G,A(x)) where G = cyclic group of order 23 generated by (1,2,...,23). A36733

Numbers k such that φ(k-1) + φ(k+1) = σ(k)/2. A76648

G.f. = φ*F⁵, where φ = g.f. for A028930, F = g.f. for A028959. A328536