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205708940 = 22556318269
BaseRepresentation
bin11000100001011…
…01111010001100
3112100002002121122
430100231322030
5410130141230
632225020112
75045332343
oct1420557214
9470062548
10205708940
11a6132198
1258a84638
1333805988
141d46ab5a
15130d5be5
hexc42de8c

205708940 has 24 divisors (see below), whose sum is σ = 432779760. Its totient is φ = 82132928.

The previous prime is 205708927. The next prime is 205708981. The reversal of 205708940 is 49807502.

It is a happy number.

205708940 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 205708940.

It is an unprimeable number.

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, 2126 + ... + 20394.

It is an arithmetic number, because the mean of its divisors is an integer number (18032490).

Almost surely, 2205708940 is an apocalyptic number.

205708940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205708940 is an abundant number, since it is smaller than the sum of its proper divisors (227070820).

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

205708940 is a wasteful number, since it uses less digits than its factorization.

205708940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18841 (or 18839 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 205708940 is about 14342.5569547414. The cubic root of 205708940 is about 590.3157746580.

The spelling of 205708940 in words is "two hundred five million, seven hundred eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 563 1126 2252 2815 5630 11260 18269 36538 73076 91345 182690 365380 10285447 20570894 41141788 51427235 102854470 205708940