13393800 has 144 divisors (see below), whose sum is σ = 51455040. Its totient is φ = 3058560.

The previous prime is 13393747. The next prime is 13393817. The reversal of 13393800 is 839331.

13393800 = 185² + 186² + ... + 359².

13393800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12069 + ... + 13131.

Almost surely, 2^13393800 is an apocalyptic number.

13393800 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 13393800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727520).

13393800 is an abundant number, since it is smaller than the sum of its proper divisors (38061240).

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

13393800 is a wasteful number, since it uses less digits than its factorization.

13393800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13393800 is about 3659.7540900995. The cubic root of 13393800 is about 237.4841355978.

The spelling of 13393800 in words is "thirteen million, three hundred ninety-three thousand, eight hundred".