13005090 has 96 divisors (see below), whose sum is σ = 40383360. Its totient is φ = 2969568.

The previous prime is 13005073. The next prime is 13005103. The reversal of 13005090 is 9050031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12739 + ... + 13721.

It is an arithmetic number, because the mean of its divisors is an integer number (420660).

Almost surely, 2^13005090 is an apocalyptic number.

13005090 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 13005090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20191680).

13005090 is an abundant number, since it is smaller than the sum of its proper divisors (27378270).

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

13005090 is a wasteful number, since it uses less digits than its factorization.

13005090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 13005090 is about 3606.2570623848. The cubic root of 13005090 is about 235.1641527000.

The spelling of 13005090 in words is "thirteen million, five thousand, ninety".