11760

11760 is a positive integer. In number theory, its prime factorization is 2^4 × 3 × 5 × 7^2, which makes the number highly composite in a local sense and gives it 60 positive divisors. Its factorization also shows it is not a perfect square, since the exponent of 3 is odd, even though many other primes appear with even exponents. The number is divisible by 16, 8, 4, 3, and 5, among other factors.

In various numeral systems, 11760 has several common representations: in hexadecimal it is 0x2DF0, in binary it is 10110111110000, and in octal it is 0o26760. These representations reflect its underlying prime factorization and can be useful in computing contexts.

In time and measurement contexts, 11760 seconds equals 3 hours and 16 minutes. If interpreted as minutes, it equals 196 hours, which is 8 days and 4 hours. Such conversions illustrate how the same number can represent different quantities depending on the unit.

11760 mod 9 equals 6 (since the sum of digits is 15, and 1+5=6), and the number’s divisibility properties follow from its factorization. Overall, 11760 is a versatile composite number with several clear arithmetic and representation characteristics.