11380200 has 96 divisors (see below), whose sum is σ = 38018400. Its totient is φ = 2799360.

The previous prime is 11380181. The next prime is 11380207. The reversal of 11380200 is 208311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11380200.

It is not an unprimeable number, because it can be changed into a prime (11380207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7071 + ... + 8529.

It is an arithmetic number, because the mean of its divisors is an integer number (396025).

Almost surely, 2^11380200 is an apocalyptic number.

11380200 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 11380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19009200).

11380200 is an abundant number, since it is smaller than the sum of its proper divisors (26638200).

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

11380200 is a wasteful number, since it uses less digits than its factorization.

11380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11380200 is about 3373.4552020147. The cubic root of 11380200 is about 224.9313370731.

Adding to 11380200 its reverse (208311), we get a palindrome (11588511).

The spelling of 11380200 in words is "eleven million, three hundred eighty thousand, two hundred".