11004200 has 24 divisors (see below), whose sum is σ = 25585230. Its totient is φ = 4401600.

The previous prime is 11004199. The next prime is 11004209. The reversal of 11004200 is 240011.

11004200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6980164 + 4024036 = 2642^2 + 2006^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11004209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27311 + ... + 27710.

Almost surely, 2^11004200 is an apocalyptic number.

11004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11004200 is an abundant number, since it is smaller than the sum of its proper divisors (14581030).

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

11004200 is a wasteful number, since it uses less digits than its factorization.

11004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55037 (or 55028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 11004200 is about 3317.2579037512. The cubic root of 11004200 is about 222.4263106564.

Adding to 11004200 its reverse (240011), we get a palindrome (11244211).

The spelling of 11004200 in words is "eleven million, four thousand, two hundred".