13293800 has 48 divisors (see below), whose sum is σ = 33292140. Its totient is φ = 4907520.

The previous prime is 13293773. The next prime is 13293817. The reversal of 13293800 is 839231.

13293800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 145924 + 13147876 = 382^2 + 3626^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13293800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44 + ... + 5156.

Almost surely, 2^13293800 is an apocalyptic number.

13293800 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 13293800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646070).

13293800 is an abundant number, since it is smaller than the sum of its proper divisors (19998340).

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

13293800 is a wasteful number, since it uses less digits than its factorization.

13293800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 13293800 is about 3646.0663735045. The cubic root of 13293800 is about 236.8916285438.

The spelling of 13293800 in words is "thirteen million, two hundred ninety-three thousand, eight hundred".