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5356200 = 2335279113
BaseRepresentation
bin10100011011101010101000
3101002010022210
4110123222220
52332344300
6310445120
763345513
oct24335250
911063283
105356200
113029213
1219637a0
131156c65
149d5d7a
1570c050
hex51baa8

5356200 has 96 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 1397760.

The previous prime is 5356193. The next prime is 5356201. The reversal of 5356200 is 26535.

It is not an unprimeable number, because it can be changed into a prime (5356201) 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 23 ways as a sum of consecutive naturals, for example, 47344 + ... + 47456.

It is an arithmetic number, because the mean of its divisors is an integer number (176700).

Almost surely, 25356200 is an apocalyptic number.

5356200 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 5356200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

5356200 is an abundant number, since it is smaller than the sum of its proper divisors (11607000).

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

5356200 is a wasteful number, since it uses less digits than its factorization.

5356200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5356200 is about 2314.3465600467. The cubic root of 5356200 is about 174.9654353504.

The spelling of 5356200 in words is "five million, three hundred fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 113 120 150 158 200 226 237 300 316 339 395 452 474 565 600 632 678 790 904 948 1130 1185 1356 1580 1695 1896 1975 2260 2370 2712 2825 3160 3390 3950 4520 4740 5650 5925 6780 7900 8475 8927 9480 11300 11850 13560 15800 16950 17854 22600 23700 26781 33900 35708 44635 47400 53562 67800 71416 89270 107124 133905 178540 214248 223175 267810 357080 446350 535620 669525 892700 1071240 1339050 1785400 2678100 5356200