11303200 has 72 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 4435200.

The previous prime is 11303183. The next prime is 11303203. The reversal of 11303200 is 230311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (11303203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56701 + ... + 56899.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^11303200 is an apocalyptic number.

11303200 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 11303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

11303200 is an abundant number, since it is smaller than the sum of its proper divisors (16820000).

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

11303200 is a wasteful number, since it uses less digits than its factorization.

11303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 11303200 is about 3362.0232003959. The cubic root of 11303200 is about 224.4228831216.

Adding to 11303200 its reverse (230311), we get a palindrome (11533511).

The spelling of 11303200 in words is "eleven million, three hundred three thousand, two hundred".