14268240 has 240 divisors, whose sum is σ = 58032000. Its totient is φ = 3068928.

The previous prime is 14268239. The next prime is 14268263. The reversal of 14268240 is 4286241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95686 + ... + 95834.

It is an arithmetic number, because the mean of its divisors is an integer number (241800).

Almost surely, 2^14268240 is an apocalyptic number.

14268240 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 14268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016000).

14268240 is an abundant number, since it is smaller than the sum of its proper divisors (43763760).

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

14268240 is a wasteful number, since it uses less digits than its factorization.

14268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14268240 is about 3777.3323920460. The cubic root of 14268240 is about 242.5437764169.

The spelling of 14268240 in words is "fourteen million, two hundred sixty-eight thousand, two hundred forty".