15306980 has 48 divisors (see below), whose sum is σ = 34990704. Its totient is φ = 5591040.

The previous prime is 15306971. The next prime is 15306997. The reversal of 15306980 is 8960351.

It can be written as a sum of positive squares in 8 ways, for example, as 6390784 + 8916196 = 2528^2 + 2986^2 .

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 15 ways as a sum of consecutive naturals, for example, 29120 + ... + 29640.

It is an arithmetic number, because the mean of its divisors is an integer number (728973).

Almost surely, 2^15306980 is an apocalyptic number.

15306980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15306980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17495352).

15306980 is an abundant number, since it is smaller than the sum of its proper divisors (19683724).

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

15306980 is a wasteful number, since it uses less digits than its factorization.

15306980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 15306980 is about 3912.4135773203. The cubic root of 15306980 is about 248.2922543145.

The spelling of 15306980 in words is "fifteen million, three hundred six thousand, nine hundred eighty".