5305200 has 60 divisors (see below), whose sum is σ = 16998168. Its totient is φ = 1414400.

The previous prime is 5305193. The next prime is 5305229. The reversal of 5305200 is 25035.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5305200.

It is a congruent number.

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, 1011 + ... + 3410.

Almost surely, 2^5305200 is an apocalyptic number.

5305200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5305200 is an abundant number, since it is smaller than the sum of its proper divisors (11692968).

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

5305200 is a wasteful number, since it uses less digits than its factorization.

5305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 5305200 is about 2303.3019775965. The cubic root of 5305200 is about 174.4083420525.

The spelling of 5305200 in words is "five million, three hundred five thousand, two hundred".