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668286660 = 2235171036361
BaseRepresentation
bin100111110101010…
…011111011000100
31201120111110221210
4213311103323010
52332040133120
6150151411420
722363225416
oct4765237304
91646443853
10668286660
11313259728
12167983b70
13a85b75c2
1464a809b6
153da0ace0
hex27d53ec4

668286660 has 96 divisors (see below), whose sum is σ = 2000823552. Its totient is φ = 166072320.

The previous prime is 668286631. The next prime is 668286667. The reversal of 668286660 is 66682866.

It is not an unprimeable number, because it can be changed into a prime (668286667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101880 + ... + 108240.

It is an arithmetic number, because the mean of its divisors is an integer number (20841912).

Almost surely, 2668286660 is an apocalyptic number.

668286660 is a gapful number since it is divisible by the number (60) 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 668286660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000411776).

668286660 is an abundant number, since it is smaller than the sum of its proper divisors (1332536892).

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

668286660 is a wasteful number, since it uses less digits than its factorization.

668286660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 668286660 is about 25851.2409760151. The cubic root of 668286660 is about 874.2874896219.

The spelling of 668286660 in words is "six hundred sixty-eight million, two hundred eighty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 103 170 204 206 255 309 340 412 510 515 618 1020 1030 1236 1545 1751 2060 3090 3502 5253 6180 6361 7004 8755 10506 12722 17510 19083 21012 25444 26265 31805 35020 38166 52530 63610 76332 95415 105060 108137 127220 190830 216274 324411 381660 432548 540685 648822 655183 1081370 1297644 1310366 1622055 1965549 2162740 2620732 3244110 3275915 3931098 6488220 6551830 7862196 9827745 11138111 13103660 19655490 22276222 33414333 39310980 44552444 55690555 66828666 111381110 133657332 167071665 222762220 334143330 668286660