11813300 has 36 divisors (see below), whose sum is σ = 27146700. Its totient is φ = 4446720.

The previous prime is 11813297. The next prime is 11813303. The reversal of 11813300 is 331811.

It is an interprime number because it is at equal distance from previous prime (11813297) and next prime (11813303).

It can be written as a sum of positive squares in 6 ways, for example, as 550564 + 11262736 = 742^2 + 3356^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11813303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1775 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (754075).

Almost surely, 2^11813300 is an apocalyptic number.

11813300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11813300 is an abundant number, since it is smaller than the sum of its proper divisors (15333400).

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

11813300 is a wasteful number, since it uses less digits than its factorization.

11813300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 11813300 is about 3437.0481521212. The cubic root of 11813300 is about 227.7493140893.

The spelling of 11813300 in words is "eleven million, eight hundred thirteen thousand, three hundred".