5640

5640 is a natural number that follows 5639 and precedes 5641. It is an even, composite number. Its prime factorization is 2^3 × 3 × 5 × 47, and it has 32 positive divisors. The number can be expressed as 120 × 47, illustrating that it is a multiple of 120 and is divisible by many small factors.

In arithmetic properties, 5640 is a Harshad number in base 10 because the sum of its digits is 15, and 5640 divided by 15 equals 376. It is also an abundant number since the sum of its positive divisors is 17280, which exceeds twice the number itself (11280).

Context and usage: The value lies near the factorial 7! (5040) and 8! (40320) and is sometimes encountered in combinatorial counts and scaling problems due to its highly factorized structure, though no special standard usage is tied to the number 5640 itself.

In other domains and catalogs, 5640 may appear as a catalog number or identifier, but in mathematics it is primarily noted for its factorization and divisor-rich properties.