6460

6460 is a natural number that lies between 6459 and 6461. It is even and composite.

In mathematics, 6460 factors as 2^2 × 5 × 17 × 19. The number has 24 positive divisors. The sum of its proper divisors is 8660, which exceeds 6460, so 6460 is an abundant number. It is not a sum of two squares, since 19 ≡ 3 (mod 4) appears to the first power in its prime factorization. By Legendre’s three-square theorem, 6460 cannot be expressed as the sum of three squares because 6460 = 4 × 1615 with 1615 ≡ 7 (mod 8). By Lagrange’s four-square theorem, however, 6460 is a sum of four squares.

In common numeral systems, 6460 is written as follows: binary 1100100111100, octal 14474, and hexadecimal 0x193C.

As an identifier, 6460 may be used as a catalog, part, or model number in various fields. There is no single universally recognized meaning or designation attached to the number 6460 across domains. In calendar terms, 6460 would refer to a year far in the future.

Overall, 6460 is primarily notable in number theory for its factorization, abundance, and its specific representations in multiple bases.