30240

30240 is a natural number. Its prime factorization is 2^5 × 3^3 × 5 × 7, which shows it is a composite number with a rich divisor structure.

The number has 96 positive divisors. The sum of its divisors, denoted sigma(30240), is 120,960, which equals 4 × 30,240. This makes 30240 a 4-perfect (quaterfect) number, meaning the sum of its divisors is four times the number itself.

In factorial and multiplicative terms, 30240 can be expressed as 7! × 6, or equivalently 2 × 3 × 7!. It is also equal to 2^5 × 3^3 × 5 × 7, highlighting its construction from small prime powers.

In everyday units, 30240 seconds equal 8 hours and 24 minutes. If interpreted as minutes, 30240 minutes equal 21 days, illustrating how the same numeric value can represent different quantities depending on the unit chosen.

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