14242320 has 120 divisors (see below), whose sum is σ = 48514752. Its totient is φ = 3744000.

The previous prime is 14242309. The next prime is 14242321. The reversal of 14242320 is 2324241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14242293 and 14242302.

It is not an unprimeable number, because it can be changed into a prime (14242321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94245 + ... + 94395.

Almost surely, 2^14242320 is an apocalyptic number.

14242320 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 14242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24257376).

14242320 is an abundant number, since it is smaller than the sum of its proper divisors (34272432).

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

14242320 is a wasteful number, since it uses less digits than its factorization.

14242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14242320 is about 3773.8998396884. The cubic root of 14242320 is about 242.3968172637.

Adding to 14242320 its reverse (2324241), we get a palindrome (16566561).

The spelling of 14242320 in words is "fourteen million, two hundred forty-two thousand, three hundred twenty".