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68176968 = 233231131093
BaseRepresentation
bin1000001000001…
…00110001001000
311202021202012220
410010010301020
5114423130333
610433134040
71455331446
oct404046110
9152252186
1068176968
1135536402
121a9ba320
1311180b02
1490a9b96
155eba8b3
hex4104c48

68176968 has 64 divisors (see below), whose sum is σ = 179591040. Its totient is φ = 21525504.

The previous prime is 68176951. The next prime is 68177003. The reversal of 68176968 is 86967186.

It is a happy number.

It is a super-3 number, since 3×681769683 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68176968.

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 15 ways as a sum of consecutive naturals, for example, 61830 + ... + 62922.

It is an arithmetic number, because the mean of its divisors is an integer number (2806110).

Almost surely, 268176968 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 68176968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89795520).

68176968 is an abundant number, since it is smaller than the sum of its proper divisors (111414072).

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

68176968 is a wasteful number, since it uses less digits than its factorization.

68176968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1234 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 68176968 is about 8256.9345401305. The cubic root of 68176968 is about 408.5192830530.

The spelling of 68176968 in words is "sixty-eight million, one hundred seventy-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 113 138 184 226 276 339 452 552 678 904 1093 1356 2186 2599 2712 3279 4372 5198 6558 7797 8744 10396 13116 15594 20792 25139 26232 31188 50278 62376 75417 100556 123509 150834 201112 247018 301668 370527 494036 603336 741054 988072 1482108 2840707 2964216 5681414 8522121 11362828 17044242 22725656 34088484 68176968