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668360196 = 223273113479
BaseRepresentation
bin100111110101100…
…101111000000100
31201120122012211100
4213311211320010
52332100011241
6150153140100
722363653000
oct4765457004
91646565740
10668360196
113132a99a9
121679ba630
13a8611c0a
1464a9d700
153da229b6
hex27d65e04

668360196 has 144 divisors (see below), whose sum is σ = 1991808000. Its totient is φ = 188875008.

The previous prime is 668360191. The next prime is 668360221. The reversal of 668360196 is 691063866.

668360196 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 (668360191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1395085 + ... + 1395563.

It is an arithmetic number, because the mean of its divisors is an integer number (13832000).

Almost surely, 2668360196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668360196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904000).

668360196 is an abundant number, since it is smaller than the sum of its proper divisors (1323447804).

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

668360196 is a wasteful number, since it uses less digits than its factorization.

668360196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 668360196 is about 25852.6632283794. The cubic root of 668360196 is about 874.3195563235.

The spelling of 668360196 in words is "six hundred sixty-eight million, three hundred sixty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 113 126 147 196 226 252 294 339 343 441 452 479 588 678 686 791 882 958 1017 1029 1356 1372 1437 1582 1764 1916 2034 2058 2373 2874 3087 3164 3353 4068 4116 4311 4746 5537 5748 6174 6706 7119 8622 9492 10059 11074 12348 13412 14238 16611 17244 20118 22148 23471 28476 30177 33222 38759 40236 46942 49833 54127 60354 66444 70413 77518 93884 99666 108254 116277 120708 140826 155036 162381 164297 199332 211239 216508 232554 281652 324762 328594 348831 378889 422478 465108 487143 492891 649524 657188 697662 757778 844956 974286 985782 1136667 1395324 1478673 1515556 1948572 1971564 2273334 2652223 2957346 3410001 4546668 5304446 5914692 6820002 7956669 10608892 13640004 15913338 18565561 23870007 31826676 37131122 47740014 55696683 74262244 95480028 111393366 167090049 222786732 334180098 668360196