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205060140 = 22335433877
BaseRepresentation
bin11000011100011…
…11100000101100
3112021212010122000
430032033200230
5404443411030
632203052300
75036660655
oct1416174054
9467763560
10205060140
11a582979a
1258811090
133363957c
141d33c52c
1513008860
hexc38f82c

205060140 has 96 divisors (see below), whose sum is σ = 640167360. Its totient is φ = 54494208.

The previous prime is 205060129. The next prime is 205060159. The reversal of 205060140 is 41060502.

It is a happy number.

205060140 is a `hidden beast` number, since 20 + 5 + 0 + 601 + 40 = 666.

205060140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2050601402 = 84099322033639200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 233382 + ... + 234258.

It is an arithmetic number, because the mean of its divisors is an integer number (6668410).

Almost surely, 2205060140 is an apocalyptic number.

205060140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205060140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320083680).

205060140 is an abundant number, since it is smaller than the sum of its proper divisors (435107220).

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

205060140 is a wasteful number, since it uses less digits than its factorization.

205060140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205060140 is about 14319.9210891681. The cubic root of 205060140 is about 589.6945081325.

The spelling of 205060140 in words is "two hundred five million, sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 433 540 866 877 1299 1732 1754 2165 2598 2631 3508 3897 4330 4385 5196 5262 6495 7794 7893 8660 8770 10524 11691 12990 13155 15588 15786 17540 19485 23382 23679 25980 26310 31572 38970 39465 46764 47358 52620 58455 77940 78930 94716 116910 118395 157860 233820 236790 379741 473580 759482 1139223 1518964 1898705 2278446 3417669 3797410 4556892 5696115 6835338 7594820 10253007 11392230 13670676 17088345 20506014 22784460 34176690 41012028 51265035 68353380 102530070 205060140