13357890 has 144 divisors (see below), whose sum is σ = 43695288. Its totient is φ = 2806272.

The previous prime is 13357889. The next prime is 13357973. The reversal of 13357890 is 9875331.

13357890 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 4 ways, for example, as 6245001 + 7112889 = 2499^2 + 2667^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57214 + ... + 57446.

Almost surely, 2^13357890 is an apocalyptic number.

13357890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13357890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21847644).

13357890 is an abundant number, since it is smaller than the sum of its proper divisors (30337398).

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

13357890 is a wasteful number, since it uses less digits than its factorization.

13357890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13357890 is about 3654.8447299441. The cubic root of 13357890 is about 237.2717067580.

The spelling of 13357890 in words is "thirteen million, three hundred fifty-seven thousand, eight hundred ninety".