14935140 has 144 divisors (see below), whose sum is σ = 52153920. Its totient is φ = 3421440.

The previous prime is 14935117. The next prime is 14935157. The reversal of 14935140 is 4153941.

14935140 is a `hidden beast` number, since 149 + 3 + 514 + 0 = 666.

14935140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37422 + ... + 37818.

It is an arithmetic number, because the mean of its divisors is an integer number (362180).

Almost surely, 2^14935140 is an apocalyptic number.

14935140 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 14935140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26076960).

14935140 is an abundant number, since it is smaller than the sum of its proper divisors (37218780).

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

14935140 is a wasteful number, since it uses less digits than its factorization.

14935140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 14935140 is about 3864.6008849557. The cubic root of 14935140 is about 246.2652304906.

The spelling of 14935140 in words is "fourteen million, nine hundred thirty-five thousand, one hundred forty".