15042016 has 48 divisors (see below), whose sum is σ = 32635008. Its totient is φ = 6768000.

The previous prime is 15042011. The next prime is 15042029. The reversal of 15042016 is 61024051.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 15041984 and 15042002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15042011) 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 7 ways as a sum of consecutive naturals, for example, 53011 + ... + 53293.

It is an arithmetic number, because the mean of its divisors is an integer number (679896).

Almost surely, 2^15042016 is an apocalyptic number.

15042016 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 15042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317504).

15042016 is an abundant number, since it is smaller than the sum of its proper divisors (17592992).

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

15042016 is a wasteful number, since it uses less digits than its factorization.

15042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 15042016 is about 3878.4037953777. The cubic root of 15042016 is about 246.8512602499.

Adding to 15042016 its reverse (61024051), we get a palindrome (76066067).

The spelling of 15042016 in words is "fifteen million, forty-two thousand, sixteen".