11310400 has 42 divisors (see below), whose sum is σ = 27834590. Its totient is φ = 4523520.

The previous prime is 11310391. The next prime is 11310413. The reversal of 11310400 is 401311.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 341056 + 10969344 = 584^2 + 3312^2 .

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

It is a congruent number.

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, 1935 + ... + 5134.

Almost surely, 2^11310400 is an apocalyptic number.

11310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310400 is an abundant number, since it is smaller than the sum of its proper divisors (16524190).

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

11310400 is an equidigital number, since it uses as much as digits as its factorization.

11310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091 (or 7076 counting only the distinct ones).

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

The square root of 11310400 is about 3363.0938137376. The cubic root of 11310400 is about 224.4705245502.

Adding to 11310400 its reverse (401311), we get a palindrome (11711711).

The spelling of 11310400 in words is "eleven million, three hundred ten thousand, four hundred".