24240

24240 is a natural number that sits between 24239 and 24241. It is an even and composite number with several notable mathematical properties.

The prime factorization of 24240 is 2^4 × 3 × 5 × 101. This yields 40 positive divisors in total. The number is divisible by 2, 3, 5 and 101, as well as by their various combinations, such as 10, 12, 15, 20, 24, 30, and 40. The sum of its digits is 12, which makes 24240 divisible by 3; since it ends in 0, it is also divisible by 5 and by 10. In base-10 arithmetic, 24240 is a Harshad (or Niven) number because it is divisible by the sum of its digits (24240 ÷ 12 = 2020). The number is also divisible by 16, since 2^4 is a factor.

Beyond pure mathematics, 24240 appears in other contexts as an identifier. In postal systems, 24240 has been used as a postal code in different countries, with the exact locality determined by the country’s addressing scheme. In astronomy, 24240 is used as a numerical designation for a minor planet in the catalog maintained by the Minor Planet Center.

In summary, 24240 is an even, highly composite integer with a clear prime factorization and several practical divisibility properties. It also serves as a code or designation in various systems, illustrating how a single number can have meaning in multiple domains.