11130400 has 36 divisors (see below), whose sum is σ = 27174042. Its totient is φ = 4451840.

The previous prime is 11130397. The next prime is 11130419. The reversal of 11130400 is 403111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8928144 + 2202256 = 2988^2 + 1484^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6157 + ... + 7756.

Almost surely, 2^11130400 is an apocalyptic number.

11130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130400 is an abundant number, since it is smaller than the sum of its proper divisors (16043642).

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

11130400 is a wasteful number, since it uses less digits than its factorization.

11130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13933 (or 13920 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11130400 is about 3336.2254120488. The cubic root of 11130400 is about 223.2733682229.

Adding to 11130400 its reverse (403111), we get a palindrome (11533511).

The spelling of 11130400 in words is "eleven million, one hundred thirty thousand, four hundred".