15142880 has 96 divisors (see below), whose sum is σ = 38320128. Its totient is φ = 5644800.

The previous prime is 15142877. The next prime is 15142889. The reversal of 15142880 is 8824151.

15142880 = T₃₈₉ + T₃₉₀ + ... + T₅₃₀.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15142889) 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 15 ways as a sum of consecutive naturals, for example, 213245 + ... + 213315.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 2^15142880 is an apocalyptic number.

15142880 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 15142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064).

15142880 is an abundant number, since it is smaller than the sum of its proper divisors (23177248).

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

15142880 is a wasteful number, since it uses less digits than its factorization.

15142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 15142880 is about 3891.3853574274. The cubic root of 15142880 is about 247.4017839731.

The spelling of 15142880 in words is "fifteen million, one hundred forty-two thousand, eight hundred eighty".