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205987128 = 23379108643
BaseRepresentation
bin11000100011100…
…01110100111000
3112100121020012220
430101301310320
5410213042003
632235004040
75050601364
oct1421616470
9470536186
10205987128
11a63021a6
1258b99620
13338a2499
141d5002a4
151313d353
hexc471d38

205987128 has 32 divisors (see below), whose sum is σ = 521491200. Its totient is φ = 67792608.

The previous prime is 205987127. The next prime is 205987153. The reversal of 205987128 is 821789502.

205987128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205987128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205987127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52426 + ... + 56217.

It is an arithmetic number, because the mean of its divisors is an integer number (16296600).

Almost surely, 2205987128 is an apocalyptic number.

It is an amenable number.

205987128 is an abundant number, since it is smaller than the sum of its proper divisors (315504072).

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

205987128 is a wasteful number, since it uses less digits than its factorization.

205987128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108731 (or 108727 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 205987128 is about 14352.2516700342. The cubic root of 205987128 is about 590.5817569303.

The spelling of 205987128 in words is "two hundred five million, nine hundred eighty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 108643 217286 325929 434572 651858 869144 1303716 2607432 8582797 17165594 25748391 34331188 51496782 68662376 102993564 205987128