5140200 has 96 divisors (see below), whose sum is σ = 17186400. Its totient is φ = 1263360.

The previous prime is 5140189. The next prime is 5140207. The reversal of 5140200 is 20415.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (5140207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7471 + ... + 8129.

It is an arithmetic number, because the mean of its divisors is an integer number (179025).

Almost surely, 2^5140200 is an apocalyptic number.

5140200 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 5140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593200).

5140200 is an abundant number, since it is smaller than the sum of its proper divisors (12046200).

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

5140200 is a wasteful number, since it uses less digits than its factorization.

5140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5140200 is about 2267.2009174310. The cubic root of 5140200 is about 172.5811422498.

Adding to 5140200 its reverse (20415), we get a palindrome (5160615).

The spelling of 5140200 in words is "five million, one hundred forty thousand, two hundred".