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5000205 = 35726803
BaseRepresentation
bin10011000100110000001101
3100102000222210
4103010300031
52240001310
6255101033
760333600
oct23046015
910360883
105000205
112905801
121811779
131060c02
14942337
1568b820
hex4c4c0d

5000205 has 24 divisors (see below), whose sum is σ = 9307872. Its totient is φ = 2285472.

The previous prime is 5000201. The next prime is 5000213. The reversal of 5000205 is 5020005.

It is not a de Polignac number, because 5000205 - 22 = 5000201 is a prime.

5000205 is a modest number, since divided by 205 gives 50 as remainder.

5000205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000201) 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, 2667 + ... + 4136.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 25000205 is an apocalyptic number.

It is an amenable number.

5000205 is a deficient number, since it is larger than the sum of its proper divisors (4307667).

5000205 is a wasteful number, since it uses less digits than its factorization.

With its successor (5000206) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (6818).

5000205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 5000205 is about 2236.1138164235. The cubic root of 5000205 is about 170.9999316029. Note that the first 4 decimals are identical.

The spelling of 5000205 in words is "five million, two hundred five", and thus it is an aban number.

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 6803 20409 34015 47621 102045 142863 238105 333347 714315 1000041 1666735 5000205