11400

11400 is a natural number that lies between 11399 and 11401. In base 10 it ends with two zeros, indicating divisibility by 100. Its prime factorization is 2^3 × 3 × 5^2 × 19, which gives it 48 positive divisors. The sum of all divisors is 37200, so the sum of proper divisors is 25800. Euler’s totient function yields φ(11400) = 2880, the count of integers up to 11400 that are relatively prime to it. The number is even and composite.

In other numeral systems, 11400 is represented as 10110010001000 in binary and 0x2C88 in hexadecimal.

Because it ends with two zeros, 11400 is divisible by 100; specifically it can be expressed as 114 × 100. It is also divisible by 2, 3, 4, 5, 8, 10, 12, 15, 20, 25, 30, 40, 50, 60, 75, 100, and other divisors arising from its prime factors. It is a Harshad (Niven) number in base 10, since it is divisible by the sum of its digits (1 + 1 + 4 + 0 + 0 = 6), giving 11400 ÷ 6 = 1900.

As a time interval, 11400 seconds equal 3 hours and 10 minutes. Overall, 11400 is a richly structured composite number with multiple divisors and standard base representations.