15156240 has 80 divisors (see below), whose sum is σ = 51264576. Its totient is φ = 3673600.

The previous prime is 15156233. The next prime is 15156247. The reversal of 15156240 is 4265151.

It is an interprime number because it is at equal distance from previous prime (15156233) and next prime (15156247).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×15156240² = 459423221875200, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 15156240.

It is not an unprimeable number, because it can be changed into a prime (15156247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231 + ... + 5510.

Almost surely, 2^15156240 is an apocalyptic number.

15156240 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 15156240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25632288).

15156240 is an abundant number, since it is smaller than the sum of its proper divisors (36108336).

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

15156240 is a wasteful number, since it uses less digits than its factorization.

15156240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 15156240 is about 3893.1015912765. The cubic root of 15156240 is about 247.4745203849.

The spelling of 15156240 in words is "fifteen million, one hundred fifty-six thousand, two hundred forty".