15142280 has 64 divisors (see below), whose sum is σ = 36115200. Its totient is φ = 5702400.

The previous prime is 15142277. The next prime is 15142307. The reversal of 15142280 is 8224151.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 100205 + ... + 100355.

It is an arithmetic number, because the mean of its divisors is an integer number (564300).

Almost surely, 2^15142280 is an apocalyptic number.

15142280 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 15142280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057600).

15142280 is an abundant number, since it is smaller than the sum of its proper divisors (20972920).

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

15142280 is a wasteful number, since it uses less digits than its factorization.

15142280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 15142280 is about 3891.3082632965. The cubic root of 15142280 is about 247.3985163641.

The spelling of 15142280 in words is "fifteen million, one hundred forty-two thousand, two hundred eighty".