5293200 has 120 divisors (see below), whose sum is σ = 18543456. Its totient is φ = 1280000.

The previous prime is 5293199. The next prime is 5293207. The reversal of 5293200 is 23925.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (5293207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13000 + ... + 13400.

Almost surely, 2^5293200 is an apocalyptic number.

5293200 is a gapful number since it is divisible by the number (50) 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 5293200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271728).

5293200 is an abundant number, since it is smaller than the sum of its proper divisors (13250256).

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

5293200 is a wasteful number, since it uses less digits than its factorization.

5293200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5293200 is about 2300.6955470031. The cubic root of 5293200 is about 174.2767428612.

The spelling of 5293200 in words is "five million, two hundred ninety-three thousand, two hundred".