5190304 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1978368.

The previous prime is 5190301. The next prime is 5190319. The reversal of 5190304 is 4030915.

5190304 = 147² + 148² + ... + 265².

It is a super-2 number, since 2×5190304² = 53878511224832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5190301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110409 + ... + 110455.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^5190304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5190304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

5190304 is an abundant number, since it is smaller than the sum of its proper divisors (7873376).

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

5190304 is a wasteful number, since it uses less digits than its factorization.

5190304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5190304 is about 2278.2238695967. The cubic root of 5190304 is about 173.1400738872.

The spelling of 5190304 in words is "five million, one hundred ninety thousand, three hundred four".