14053200 has 180 divisors, whose sum is σ = 52585920. Its totient is φ = 3198720.

The previous prime is 14053187. The next prime is 14053219. The reversal of 14053200 is 235041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14053200.

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 35 ways as a sum of consecutive naturals, for example, 58681 + ... + 58919.

It is an arithmetic number, because the mean of its divisors is an integer number (292144).

Almost surely, 2^14053200 is an apocalyptic number.

14053200 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 14053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292960).

14053200 is an abundant number, since it is smaller than the sum of its proper divisors (38532720).

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

14053200 is a wasteful number, since it uses less digits than its factorization.

14053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 14053200 is about 3748.7597949188. The cubic root of 14053200 is about 241.3191252247.

Adding to 14053200 its reverse (235041), we get a palindrome (14288241).

The spelling of 14053200 in words is "fourteen million, fifty-three thousand, two hundred".