11830200 has 48 divisors (see below), whose sum is σ = 36675480. Its totient is φ = 3154560.

The previous prime is 11830199. The next prime is 11830201. The reversal of 11830200 is 203811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11830199) and next prime (11830201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11830200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11830201) by changing a digit.

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, 9259 + ... + 10458.

Almost surely, 2^11830200 is an apocalyptic number.

11830200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11830200 is an abundant number, since it is smaller than the sum of its proper divisors (24845280).

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

11830200 is a wasteful number, since it uses less digits than its factorization.

11830200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19736 (or 19727 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11830200 is about 3439.5057784513. The cubic root of 11830200 is about 227.8578677092.

The spelling of 11830200 in words is "eleven million, eight hundred thirty thousand, two hundred".