15442240 has 112 divisors (see below), whose sum is σ = 41477184. Its totient is φ = 5427200.

The previous prime is 15442187. The next prime is 15442249. The reversal of 15442240 is 4224451.

15442240 = 668² + 669² + ... + 700².

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15442249) 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, 144267 + ... + 144373.

It is an arithmetic number, because the mean of its divisors is an integer number (370332).

Almost surely, 2^15442240 is an apocalyptic number.

15442240 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 15442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738592).

15442240 is an abundant number, since it is smaller than the sum of its proper divisors (26034944).

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

15442240 is a wasteful number, since it uses less digits than its factorization.

15442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 15442240 is about 3929.6615630357. The cubic root of 15442240 is about 249.0214547945.

Adding to 15442240 its reverse (4224451), we get a palindrome (19666691).

The spelling of 15442240 in words is "fifteen million, four hundred forty-two thousand, two hundred forty".