Properties of the Number -1760

Seven Hundred Sixty

Basics

Value: -1761 → -1760 → -1759

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 5 × 11

Divisors: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11011100000

Octal: -3340

Duodecimal: -1028

Hexadecimal: -6e0

Square: 3097600

Square Root: 41.95235392680606

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^m)^-2. A22597

Expansion of η(q)²⁴ / η(q²)¹² in powers of q. A286346

Expansion of q^-1/4 * η(q)⁸ * η(q⁴)² / η(q²)⁵ in powers of q. A244276

a(1) = 1; a(n) = -∑_{d∣n, d < n} A341512(n/d) * a(d), where A341512(n) = σ(n)*A003961(n) - n*σ(A003961(n)). A347096

Expansion of ( ∑_{n = -infinity..infinity} x^n² )^-10. A4411

Expansion of 1/(∑_i>=0 q^2·i*(i+1)/∏_j=0..i (1 + q^2·j+1 + q^4·j+2)). A294600

E.g.f. C(x,y) = 1 - Integral S(x,y)*C(y,x) dx such that C(x,y)² + S(x,y)² = 1 and S(y,x) = Integral C(y,x)*C(x,y) dy, as a triangle of coefficients T(n,k) read by rows. A367381

Expansion of 1/((1 +x +x²)² *(1 +x² +x³)³). A167177

Totally multiplicative sequence with a(p) = (p-3)*(p+3) = p²-9 for prime p. A167362

Triangle read by rows: T(0,0) = 1; T(n,k) = - T(n-1,k) - 2 T(n-3,k-1) for k = 0..floor(n/3); T(n,k)=0 for n or k < 0. A317505