13432200 has 96 divisors (see below), whose sum is σ = 42437760. Its totient is φ = 3513600.

The previous prime is 13432169. The next prime is 13432213. The reversal of 13432200 is 223431.

13432200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13432200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36417 + ... + 36783.

It is an arithmetic number, because the mean of its divisors is an integer number (442060).

Almost surely, 2^13432200 is an apocalyptic number.

13432200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21218880).

13432200 is an abundant number, since it is smaller than the sum of its proper divisors (29005560).

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

13432200 is a wasteful number, since it uses less digits than its factorization.

13432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13432200 is about 3664.9965893572. The cubic root of 13432200 is about 237.7108745757.

Adding to 13432200 its reverse (223431), we get a palindrome (13655631).

The spelling of 13432200 in words is "thirteen million, four hundred thirty-two thousand, two hundred".