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205968136 = 23112212777
BaseRepresentation
bin11000100011011…
…01001100001000
3112100120021011111
430101231030020
5410211440021
632234340104
75050462123
oct1421551410
9470507144
10205968136
11a6299a00
1258b8a634
133389694a
141d4d73ba
15131378e1
hexc46d308

205968136 has 24 divisors (see below), whose sum is σ = 424492110. Its totient is φ = 93621440.

The previous prime is 205968127. The next prime is 205968137. The reversal of 205968136 is 631869502.

It can be written as a sum of positive squares in only one way, i.e., 110124036 + 95844100 = 10494^2 + 9790^2 .

It is not an unprimeable number, because it can be changed into a prime (205968137) 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 5 ways as a sum of consecutive naturals, for example, 105421 + ... + 107356.

Almost surely, 2205968136 is an apocalyptic number.

It is an amenable number.

205968136 is an abundant number, since it is smaller than the sum of its proper divisors (218523974).

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

205968136 is a wasteful number, since it uses less digits than its factorization.

205968136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212805 (or 212790 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 205968136 is about 14351.5900164407. The cubic root of 205968136 is about 590.5636058391.

The spelling of 205968136 in words is "two hundred five million, nine hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 212777 425554 851108 1702216 2340547 4681094 9362188 18724376 25746017 51492034 102984068 205968136