11383200 has 288 divisors, whose sum is σ = 44997120. Its totient is φ = 2764800.

The previous prime is 11383157. The next prime is 11383213. The reversal of 11383200 is 238311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367185 + ... + 367215.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^11383200 is an apocalyptic number.

11383200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

11383200 is an abundant number, since it is smaller than the sum of its proper divisors (33613920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11383200 is a wasteful number, since it uses less digits than its factorization.

11383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11383200 is about 3373.8998206823. The cubic root of 11383200 is about 224.9511004845.

The spelling of 11383200 in words is "eleven million, three hundred eighty-three thousand, two hundred".