14013200 has 60 divisors (see below), whose sum is σ = 34353828. Its totient is φ = 5491200.

The previous prime is 14013193. The next prime is 14013211. The reversal of 14013200 is 231041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 234256 + 13778944 = 484^2 + 3712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20870 + ... + 21530.

Almost surely, 2^14013200 is an apocalyptic number.

14013200 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 14013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176914).

14013200 is an abundant number, since it is smaller than the sum of its proper divisors (20340628).

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

14013200 is a wasteful number, since it uses less digits than its factorization.

14013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 14013200 is about 3743.4208953843. The cubic root of 14013200 is about 241.0899499520.

Adding to 14013200 its reverse (231041), we get a palindrome (14244241).

The spelling of 14013200 in words is "fourteen million, thirteen thousand, two hundred".