13530090 has 64 divisors (see below), whose sum is σ = 39075840. Its totient is φ = 2928960.

The previous prime is 13530089. The next prime is 13530091. The reversal of 13530090 is 9003531.

It is an interprime number because it is at equal distance from previous prime (13530089) and next prime (13530091).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13530091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295 + ... + 5685.

It is an arithmetic number, because the mean of its divisors is an integer number (610560).

Almost surely, 2^13530090 is an apocalyptic number.

13530090 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 13530090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19537920).

13530090 is an abundant number, since it is smaller than the sum of its proper divisors (25545750).

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

13530090 is a wasteful number, since it uses less digits than its factorization.

13530090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 13530090 is about 3678.3270653926. The cubic root of 13530090 is about 238.2869335507.

The spelling of 13530090 in words is "thirteen million, five hundred thirty thousand, ninety".