15038940 has 96 divisors (see below), whose sum is σ = 48996864. Its totient is φ = 3375360.

The previous prime is 15038939. The next prime is 15038951. The reversal of 15038940 is 4983051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15038898 and 15038907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25327 + ... + 25913.

It is an arithmetic number, because the mean of its divisors is an integer number (510384).

Almost surely, 2^15038940 is an apocalyptic number.

15038940 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 15038940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498432).

15038940 is an abundant number, since it is smaller than the sum of its proper divisors (33957924).

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

15038940 is a wasteful number, since it uses less digits than its factorization.

15038940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 15038940 is about 3878.0072202099. The cubic root of 15038940 is about 246.8344325800.

The spelling of 15038940 in words is "fifteen million, thirty-eight thousand, nine hundred forty".