11413200 has 60 divisors (see below), whose sum is σ = 36564128. Its totient is φ = 3043200.

The previous prime is 11413187. The next prime is 11413217. The reversal of 11413200 is 231411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×11413200² = 260522268480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3556 + ... + 5955.

Almost surely, 2^11413200 is an apocalyptic number.

11413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11413200 is an abundant number, since it is smaller than the sum of its proper divisors (25150928).

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

11413200 is a wasteful number, since it uses less digits than its factorization.

11413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11413200 is about 3378.3427890017. The cubic root of 11413200 is about 225.1485438858.

Adding to 11413200 its reverse (231411), we get a palindrome (11644611).

The spelling of 11413200 in words is "eleven million, four hundred thirteen thousand, two hundred".