6380

6380 is a natural number that lies between 6379 and 6381. In mathematics, it is an even composite number with the prime factorization 2^2 × 5 × 11 × 29. The number has 24 positive divisors, including 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 638, 1276, 1595, 3190, and 6380 itself.

The sum of all divisors is 15120, so the sum of proper divisors is 8740, making 6380 an abundant number. The Euler totient function yields φ(6380) = 2240, reflecting the count of integers up to 6380 that are coprime to it.

6380 is also classified as a practical number, a property related to the ability to express all smaller integers as sums of its divisors. This follows from its factorization 2^2 × 5 × 11 × 29 and the standard condition for practical numbers: after 2, every next prime factor p_k satisfies p_k ≤ 1 + σ(∏_{i<k} p_i^{a_i}).

As a four-prime, even number, 6380 participates in various arithmetic and combinatorial contexts, though it does not correspond to a widely recognized constant, landmark year, or commonly named object. It remains a representative example of numbers with a rich divisor structure.