15129040 has 40 divisors (see below), whose sum is σ = 35352648. Its totient is φ = 6021120.

The previous prime is 15129029. The next prime is 15129043. The reversal of 15129040 is 4092151.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 13601344 = 1236^2 + 3688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15129043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22144 + ... + 22816.

Almost surely, 2^15129040 is an apocalyptic number.

15129040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15129040 is an abundant number, since it is smaller than the sum of its proper divisors (20223608).

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

15129040 is a wasteful number, since it uses less digits than its factorization.

15129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 15129040 is about 3889.6066639186. The cubic root of 15129040 is about 247.3263891480.

It can be divided in two parts, 151290 and 40, that multiplied together give a square (6051600 = 2460²).

The spelling of 15129040 in words is "fifteen million, one hundred twenty-nine thousand, forty".