15330042 has 96 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 4021920.

The previous prime is 15330031. The next prime is 15330047. The reversal of 15330042 is 24003351.

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 = 15329997 and 15330024.

It is not an unprimeable number, because it can be changed into a prime (15330047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80167 + ... + 80357.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 2^15330042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15330042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

15330042 is an abundant number, since it is smaller than the sum of its proper divisors (26602758).

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

15330042 is a wasteful number, since it uses less digits than its factorization.

15330042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 15330042 is about 3915.3597535859. The cubic root of 15330042 is about 248.4168868385.

Adding to 15330042 its reverse (24003351), we get a palindrome (39333393).

The spelling of 15330042 in words is "fifteen million, three hundred thirty thousand, forty-two".