14057120 has 144 divisors (see below), whose sum is σ = 42402528. Its totient is φ = 4354560.

The previous prime is 14057081. The next prime is 14057177. The reversal of 14057120 is 2175041.

It is a super-3 number, since 3×14057120³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14057092 and 14057101.

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 23 ways as a sum of consecutive naturals, for example, 86159 + ... + 86321.

It is an arithmetic number, because the mean of its divisors is an integer number (294462).

Almost surely, 2^14057120 is an apocalyptic number.

14057120 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 14057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21201264).

14057120 is an abundant number, since it is smaller than the sum of its proper divisors (28345408).

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

14057120 is a wasteful number, since it uses less digits than its factorization.

14057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 14057120 is about 3749.2825980446. The cubic root of 14057120 is about 241.3415609932.

The spelling of 14057120 in words is "fourteen million, fifty-seven thousand, one hundred twenty".