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205955061 = 31323710979
BaseRepresentation
bin11000100011010…
…01111111110101
3112100112121020020
430101221333311
5410211030221
632234155353
75050406034
oct1421517765
9470477206
10205955061
11a62900a4
1258b82b59
1333890a00
141d4d271b
1513133ac6
hexc469ff5

205955061 has 24 divisors (see below), whose sum is σ = 305419680. Its totient is φ = 123304896.

The previous prime is 205955039. The next prime is 205955089. The reversal of 205955061 is 160559502.

It is not a de Polignac number, because 205955061 - 26 = 205954997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205955461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13270 + ... + 24248.

It is an arithmetic number, because the mean of its divisors is an integer number (12725820).

Almost surely, 2205955061 is an apocalyptic number.

It is an amenable number.

205955061 is a deficient number, since it is larger than the sum of its proper divisors (99464619).

205955061 is a wasteful number, since it uses less digits than its factorization.

205955061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11045 (or 11032 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 205955061 is about 14351.1344847716. The cubic root of 205955061 is about 590.5511091123.

The spelling of 205955061 in words is "two hundred five million, nine hundred fifty-five thousand, sixty-one".

Divisors: 1 3 13 37 39 111 169 481 507 1443 6253 10979 18759 32937 142727 406223 428181 1218669 1855451 5280899 5566353 15842697 68651687 205955061