120360

120360 is a positive integer that lies between 120359 and 120361. In mathematics, it is an even and composite number. Its prime factorization is 120360 = 2^3 × 3 × 5 × 17 × 59, which implies that it has 64 positive divisors.

Because of its prime factors, 120360 is divisible by many small integers. It is divisible by 2, 3, 4, 5, 6, 8, 10, 12, and 15, as well as by 60 and 120 (since 120360 = 60 × 2006 = 120 × 1003). The decimal representation ends in zero, indicating divisibility by 2 and 5, and its last three digits (360) show divisibility by 8.

The sum of the digits of 120360 is 12, so the number is a Harshad (Niven) number, because it is divisible by the sum of its digits (120360 ÷ 12 = 10030). Its divisor structure follows directly from the prime factorization, and the number therefore has 64 divisors in total.

In broader terms, 120360 serves as an example of an even, highly composite-looking integer with a diverse set of small prime factors. While it has no widely known constants or named theorems associated specifically with it, its factorization and divisor count illustrate common arithmetic properties used in number theory discussions and teaching.