15313320 has 128 divisors (see below), whose sum is σ = 55728000. Its totient is φ = 3709440.

The previous prime is 15313313. The next prime is 15313321. The reversal of 15313320 is 2331351.

15313320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 15313293 and 15313302.

It is not an unprimeable number, because it can be changed into a prime (15313321) 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, 11236 + ... + 12524.

It is an arithmetic number, because the mean of its divisors is an integer number (435375).

Almost surely, 2^15313320 is an apocalyptic number.

15313320 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 15313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27864000).

15313320 is an abundant number, since it is smaller than the sum of its proper divisors (40414680).

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

15313320 is a wasteful number, since it uses less digits than its factorization.

15313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 15313320 is about 3913.2237349786. The cubic root of 15313320 is about 248.3265296496.

Adding to 15313320 its reverse (2331351), we get a palindrome (17644671).

It can be divided in two parts, 1531 and 3320, that added together give a triangular number (4851 = T₉₈).

The spelling of 15313320 in words is "fifteen million, three hundred thirteen thousand, three hundred twenty".