Properties of the Number -1768

Seven Hundred Sixty-Eight

Basics

Value: -1769 → -1768 → -1767

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 13 × 17

Divisors: 1, 2, 4, 8, 13, 17, 26, 34, 52, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11011101000

Octal: -3350

Duodecimal: -1034

Hexadecimal: -6e8

Square: 3125824

Square Root: 42.04759208325728

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

Expansion of ∏_m>=1 ((1+q^2·m-1)/(1+q^2·m))⁶. A29843

Antidiagonal-sums of the array A378622(n,k) = n-th term of k-th differences of strict partition numbers (A000009). A378970

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 χ(-q) * χ(q⁹) / (χ(q) * χ(-q⁹)) in powers of q where χ() is a Ramanujan θ function. A260215

Expansion of q^-1 * (f(-q³, -q⁵) / f(-q, -q⁷))² in powers of·where f(,) is Ramanujan's two-variable θ function. A245436

Expansion of (1/q) * (f(q) / f(q⁹))³ in powers of q where f() is a Ramanujan θ function. A227498

Expansion of (φ(q) / φ(q³))² in powers of q where φ() is a Ramanujan θ function. A261321

a(n) = lcm{1,2,...,n} / swinging_factorial(n) = A003418(n) / A056040(n). A180000

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