13007190 has 64 divisors (see below), whose sum is σ = 37241856. Its totient is φ = 2842752.

The previous prime is 13007173. The next prime is 13007219. The reversal of 13007190 is 9170031.

It is a super-2 number, since 2×13007190² = 338373983392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3484 + ... + 6176.

It is an arithmetic number, because the mean of its divisors is an integer number (581904).

Almost surely, 2^13007190 is an apocalyptic number.

13007190 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 13007190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620928).

13007190 is an abundant number, since it is smaller than the sum of its proper divisors (24234666).

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

13007190 is a wasteful number, since it uses less digits than its factorization.

13007190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 13007190 is about 3606.5482112402. The cubic root of 13007190 is about 235.1768097479.

The spelling of 13007190 in words is "thirteen million, seven thousand, one hundred ninety".