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5104200 = 2335247181
BaseRepresentation
bin10011011110001001001000
3100121022122110
4103132021020
52301313300
6301222320
761246023
oct23361110
910538573
105104200
112976952
1218619a0
13109934a
1496c1ba
156ac550
hex4de248

5104200 has 96 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1324800.

The previous prime is 5104193. The next prime is 5104201. The reversal of 5104200 is 24015.

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 (5104201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28110 + ... + 28290.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 25104200 is an apocalyptic number.

5104200 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 5104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

5104200 is an abundant number, since it is smaller than the sum of its proper divisors (11144760).

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

5104200 is a wasteful number, since it uses less digits than its factorization.

5104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

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

The square root of 5104200 is about 2259.2476623868. The cubic root of 5104200 is about 172.1773004972.

Adding to 5104200 its reverse (24015), we get a palindrome (5128215).

The spelling of 5104200 in words is "five million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 181 188 200 235 282 300 362 376 470 543 564 600 705 724 905 940 1086 1128 1175 1410 1448 1810 1880 2172 2350 2715 2820 3525 3620 4344 4525 4700 5430 5640 7050 7240 8507 9050 9400 10860 13575 14100 17014 18100 21720 25521 27150 28200 34028 36200 42535 51042 54300 68056 85070 102084 108600 127605 170140 204168 212675 255210 340280 425350 510420 638025 850700 1020840 1276050 1701400 2552100 5104200