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204065960 = 23571743997
BaseRepresentation
bin11000010100111…
…00110010101000
3112012222121212112
430022130302220
5404220102320
632125501452
75025350330
oct1412346250
9465877775
10204065960
11a520a85a
1258411888
133337bbb7
141d1600c0
1512dadec5
hexc29cca8

204065960 has 128 divisors (see below), whose sum is σ = 569099520. Its totient is φ = 64253952.

The previous prime is 204065957. The next prime is 204065971. The reversal of 204065960 is 69560402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204182 + ... + 205178.

It is an arithmetic number, because the mean of its divisors is an integer number (4446090).

Almost surely, 2204065960 is an apocalyptic number.

204065960 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 204065960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284549760).

204065960 is an abundant number, since it is smaller than the sum of its proper divisors (365033560).

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

204065960 is a wasteful number, since it uses less digits than its factorization.

204065960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 204065960 is about 14285.1657323253. The cubic root of 204065960 is about 588.7399710999.

The spelling of 204065960 in words is "two hundred four million, sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 43 56 68 70 85 86 119 136 140 170 172 215 238 280 301 340 344 430 476 595 602 680 731 860 952 997 1190 1204 1462 1505 1720 1994 2380 2408 2924 3010 3655 3988 4760 4985 5117 5848 6020 6979 7310 7976 9970 10234 12040 13958 14620 16949 19940 20468 25585 27916 29240 33898 34895 39880 40936 42871 51170 55832 67796 69790 84745 85742 102340 118643 135592 139580 169490 171484 204680 214355 237286 279160 300097 338980 342968 428710 474572 593215 600194 677960 728807 857420 949144 1186430 1200388 1457614 1500485 1714840 2372860 2400776 2915228 3000970 3644035 4745720 5101649 5830456 6001940 7288070 10203298 12003880 14576140 20406596 25508245 29152280 40813192 51016490 102032980 204065960