13248090 has 64 divisors (see below), whose sum is σ = 35683200. Its totient is φ = 3497472.

The previous prime is 13248089. The next prime is 13248091. The reversal of 13248090 is 9084231.

It is an interprime number because it is at equal distance from previous prime (13248089) and next prime (13248091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13248091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37354 + ... + 37706.

It is an arithmetic number, because the mean of its divisors is an integer number (557550).

Almost surely, 2^13248090 is an apocalyptic number.

13248090 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 13248090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17841600).

13248090 is an abundant number, since it is smaller than the sum of its proper divisors (22435110).

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

13248090 is a wasteful number, since it uses less digits than its factorization.

13248090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13248090 is about 3639.7925765076. The cubic root of 13248090 is about 236.6198038094.

The spelling of 13248090 in words is "thirteen million, two hundred forty-eight thousand, ninety".