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68293764 = 223271171347
BaseRepresentation
bin1000001001000…
…01010010000100
311202111200102200
410010201102010
5114440400024
610435434500
71456326120
oct404412204
9152450380
1068293764
1135606130
121aa55a30
13111c2016
1490da580
155ee02c9
hex4121484

68293764 has 144 divisors (see below), whose sum is σ = 218889216. Its totient is φ = 17438400.

The previous prime is 68293751. The next prime is 68293781. The reversal of 68293764 is 46739286.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196639 + ... + 196985.

It is an arithmetic number, because the mean of its divisors is an integer number (1520064).

Almost surely, 268293764 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 68293764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109444608).

68293764 is an abundant number, since it is smaller than the sum of its proper divisors (150595452).

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

68293764 is a wasteful number, since it uses less digits than its factorization.

68293764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 68293764 is about 8264.0041142294. The cubic root of 68293764 is about 408.7524321601.

The spelling of 68293764 in words is "sixty-eight million, two hundred ninety-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 71 77 84 99 126 132 142 154 198 213 231 252 284 308 347 396 426 462 497 639 693 694 781 852 924 994 1041 1278 1386 1388 1491 1562 1988 2082 2343 2429 2556 2772 2982 3123 3124 3817 4164 4473 4686 4858 5467 5964 6246 7029 7287 7634 8946 9372 9716 10934 11451 12492 14058 14574 15268 16401 17892 21861 21868 22902 24637 26719 28116 29148 32802 34353 43722 45804 49203 49274 53438 65604 68706 73911 80157 87444 98406 98548 106876 137412 147822 160314 172459 196812 221733 240471 271007 295644 320628 344918 443466 480942 517377 542014 689836 813021 886932 961884 1034754 1084028 1552131 1626042 1897049 2069508 2439063 3104262 3252084 3794098 4878126 5691147 6208524 7588196 9756252 11382294 17073441 22764588 34146882 68293764