13282380 has 84 divisors (see below), whose sum is σ = 41866272. Its totient is φ = 3538080.

The previous prime is 13282363. The next prime is 13282393. The reversal of 13282380 is 8328231.

13282380 is a `hidden beast` number, since 1 + 3 + 282 + 380 = 666.

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

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 14125 + ... + 15035.

It is an arithmetic number, because the mean of its divisors is an integer number (498408).

Almost surely, 2^13282380 is an apocalyptic number.

13282380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3644×3645.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13282380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933136).

13282380 is an abundant number, since it is smaller than the sum of its proper divisors (28583892).

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

13282380 is an equidigital number, since it uses as much as digits as its factorization.

13282380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13282380 is about 3644.4999657017. The cubic root of 13282380 is about 236.8237754235.

The spelling of 13282380 in words is "thirteen million, two hundred eighty-two thousand, three hundred eighty".