15002016 has 72 divisors (see below), whose sum is σ = 41231232. Its totient is φ = 4771200.

The previous prime is 15001991. The next prime is 15002017. The reversal of 15002016 is 61020051.

It is a junction number, because it is equal to n+sod(n) for n = 15001986 and 15002004.

It is not an unprimeable number, because it can be changed into a prime (15002017) 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 11 ways as a sum of consecutive naturals, for example, 211261 + ... + 211331.

It is an arithmetic number, because the mean of its divisors is an integer number (572656).

Almost surely, 2^15002016 is an apocalyptic number.

15002016 is a gapful number since it is divisible by the number (16) 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 15002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615616).

15002016 is an abundant number, since it is smaller than the sum of its proper divisors (26229216).

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

15002016 is an equidigital number, since it uses as much as digits as its factorization.

15002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 15002016 is about 3873.2436019440. The cubic root of 15002016 is about 246.6322555682.

Adding to 15002016 its reverse (61020051), we get a palindrome (76022067).

The spelling of 15002016 in words is "fifteen million, two thousand, sixteen".