Properties of the Number 30068

Thirty Thousand Sixty-Eight

Basics

Value: 30067 → 30068 → 30069

Parity: even

Prime: No

Previous Prime: 30059

Next Prime: 30071

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7517

Divisors: 1, 2, 4, 7517, 15034, 30068

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010101110100

Octal: 72564

Duodecimal: 15498

Hexadecimal: 7574

Square: 904084624

Square Root: 173.40126873814967

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

G.f.: ∏_{n >= 0} (1+x²ⁿ⁺¹)/(1-x²ⁿ⁺¹). A80054

Expansion of φ(q²) / φ(-q) in powers of q where φ() is a Ramanujan θ function. A208850

Expansion of theta₃(q) / theta₃(q²) in powers of q. A80015

Expansion of f(-q) / f(q) in powers of q where f() is a Ramanujan θ function. A108494

Expansion of φ(-q) / φ(q²) in powers of q where φ() is a Ramanujan θ function. A210030

Expansion of φ(q²) / φ(q) in powers of q where φ() is a Ramanujan θ function. A210065

Expansion of χ(x)² / χ(-x²)⁶ in powers of·where χ() is a Ramanujan θ function. A224916

Numbers that are the sum of distinct primorial numbers (A002110) (not including 1). A290249

Inverse Moebius transform of f(x) = primorial(x) = A002110(x). A62797

Sums of 4 distinct primorials. A177709