13019790 has 96 divisors (see below), whose sum is σ = 38561184. Its totient is φ = 2795520.

The previous prime is 13019789. The next prime is 13019791. The reversal of 13019790 is 9791031.

13019790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13019789) and next prime (13019791).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13019791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24730 + ... + 25250.

It is an arithmetic number, because the mean of its divisors is an integer number (401679).

Almost surely, 2^13019790 is an apocalyptic number.

13019790 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 13019790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19280592).

13019790 is an abundant number, since it is smaller than the sum of its proper divisors (25541394).

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

13019790 is a wasteful number, since it uses less digits than its factorization.

13019790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 30.

The square root of 13019790 is about 3608.2946110316. The cubic root of 13019790 is about 235.2527234412.

The spelling of 13019790 in words is "thirteen million, nineteen thousand, seven hundred ninety".