15255240 has 256 divisors, whose sum is σ = 61931520. Its totient is φ = 2903040.

The previous prime is 15255197. The next prime is 15255269. The reversal of 15255240 is 4255251.

15255240 = 253² + 254² + ... + 395².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15255240.

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 63 ways as a sum of consecutive naturals, for example, 120057 + ... + 120183.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^15255240 is an apocalyptic number.

15255240 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 15255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

15255240 is an abundant number, since it is smaller than the sum of its proper divisors (46676280).

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

15255240 is a wasteful number, since it uses less digits than its factorization.

15255240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 15255240 is about 3905.7956935815. The cubic root of 15255240 is about 248.0121828909.

It can be divided in two parts, 15 and 255240, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 15255240 in words is "fifteen million, two hundred fifty-five thousand, two hundred forty".