13200

13200 is a natural number that comes after 13199 and before 13201. In mathematics it is studied as a composite integer with several interesting factorization and representation properties.

The prime factorization of 13200 is 2^4 × 3 × 5^2 × 11. From this factorization it follows that 13200 is divisible by many integers, including 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 24, 25, 30, 33, 44, 55, 60, and others. The total number of positive divisors of 13200 is (4+1)×(1+1)×(2+1)×(1+1) = 60. The digit sum of 13200 is 6, which confirms divisibility by 3, and its ending zero confirms divisibility by 5 and 10.

In common numeral systems, 13200 is represented as 11001110010000 in binary, 0x3390 in hexadecimal, and 31620 in octal. The decimal value places 13200 between 114^2 = 12996 and 115^2 = 13225, so its square root is approximately 114.9.

As a practical note, 13200 seconds equal 3 hours and 40 minutes, illustrating a standard time-conversion property of the number when used in continuous time measurements. Overall, 13200 is a relatively small composite number with a rich divisor structure and standard representations across common bases.