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5304200 = 2352112411
BaseRepresentation
bin10100001110111110001000
3100222110222212
4110032332020
52324213300
6305404252
763041066
oct24167610
910873885
105304200
112aa3140
121939688
1311393a5
149c1036
156eb935
hex50ef88

5304200 has 48 divisors (see below), whose sum is σ = 13458960. Its totient is φ = 1928000.

The previous prime is 5304199. The next prime is 5304203. The reversal of 5304200 is 24035.

It is not an unprimeable number, because it can be changed into a prime (5304203) by changing a digit.

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, 995 + ... + 3405.

It is an arithmetic number, because the mean of its divisors is an integer number (280395).

Almost surely, 25304200 is an apocalyptic number.

5304200 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 5304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729480).

5304200 is an abundant number, since it is smaller than the sum of its proper divisors (8154760).

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

5304200 is a wasteful number, since it uses less digits than its factorization.

5304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 5304200 is about 2303.0848877104. The cubic root of 5304200 is about 174.3973830374.

Adding to 5304200 its reverse (24035), we get a palindrome (5328235).

The spelling of 5304200 in words is "five million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2411 4822 9644 12055 19288 24110 26521 48220 53042 60275 96440 106084 120550 132605 212168 241100 265210 482200 530420 663025 1060840 1326050 2652100 5304200