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205068528 = 24327229063
BaseRepresentation
bin11000011100100…
…01100011110000
3112021212120010200
430032101203300
5404444143103
632203155200
75040024300
oct1416214360
9467776120
10205068528
11a5835025
1258815b00
1333640332
141d341600
151300b0a3
hexc3918f0

205068528 has 90 divisors (see below), whose sum is σ = 667629144. Its totient is φ = 58588992.

The previous prime is 205068509. The next prime is 205068553. The reversal of 205068528 is 825860502.

205068528 is a `hidden beast` number, since 20 + 50 + 68 + 528 = 666.

205068528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205068492 and 205068501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7476 + ... + 21587.

Almost surely, 2205068528 is an apocalyptic number.

205068528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205068528 is an abundant number, since it is smaller than the sum of its proper divisors (462560616).

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

205068528 is a wasteful number, since it uses less digits than its factorization.

205068528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29091 (or 29075 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 205068528 is about 14320.2139648819. The cubic root of 205068528 is about 589.7025485218.

The spelling of 205068528 in words is "two hundred five million, sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 29063 58126 87189 116252 174378 203441 232504 261567 348756 406882 465008 523134 610323 697512 813764 1046268 1220646 1395024 1424087 1627528 1830969 2092536 2441292 2848174 3255056 3661938 4185072 4272261 4882584 5696348 7323876 8544522 9765168 11392696 12816783 14647752 17089044 22785392 25633566 29295504 34178088 51267132 68356176 102534264 205068528