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204163960 = 235711135099
BaseRepresentation
bin11000010101101…
…00101101111000
3112020011121022011
430022310231320
5404231221320
632131535304
75026236130
oct1412645570
9466147264
10204163960
11a5277450
125845a534
13333b46a0
141d187ac0
1512dcd05a
hexc2b4b78

204163960 has 128 divisors (see below), whose sum is σ = 616896000. Its totient is φ = 58728960.

The previous prime is 204163933. The next prime is 204163961. The reversal of 204163960 is 69361402.

204163960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204163961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37491 + ... + 42589.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2204163960 is an apocalyptic number.

204163960 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 204163960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

204163960 is an abundant number, since it is smaller than the sum of its proper divisors (412732040).

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

204163960 is a wasteful number, since it uses less digits than its factorization.

204163960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 204163960 is about 14288.5954523179. The cubic root of 204163960 is about 588.8342008996.

The spelling of 204163960 in words is "two hundred four million, one hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5099 5720 8008 10010 10198 20020 20396 25495 35693 40040 40792 50990 56089 66287 71386 101980 112178 132574 142772 178465 203960 224356 265148 280445 285544 331435 356930 392623 448712 464009 530296 560890 662870 713860 729157 785246 928018 1121780 1325740 1427720 1458314 1570492 1856036 1963115 2243560 2320045 2651480 2916628 3140984 3645785 3712072 3926230 4640090 5104099 5833256 7291570 7852460 9280180 10208198 14583140 15704920 18560360 20416396 25520495 29166280 40832792 51040990 102081980 204163960