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68318712 = 233271112323
BaseRepresentation
bin1000001001001…
…11010111111000
311202112221122200
410010213113320
5114442144322
610440150200
71456461630
oct404472770
9152487580
1068318712
1135622950
121aa68360
1311200497
1491056c0
155ee78ac
hex41275f8

68318712 has 96 divisors (see below), whose sum is σ = 230705280. Its totient is φ = 17743680.

The previous prime is 68318689. The next prime is 68318741. The reversal of 68318712 is 21781386.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618 + ... + 11705.

It is an arithmetic number, because the mean of its divisors is an integer number (2403180).

Almost surely, 268318712 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 68318712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115352640).

68318712 is an abundant number, since it is smaller than the sum of its proper divisors (162386568).

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

68318712 is a wasteful number, since it uses less digits than its factorization.

68318712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12353 (or 12346 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 68318712 is about 8265.5134141806. The cubic root of 68318712 is about 408.8021990964.

The spelling of 68318712 in words is "sixty-eight million, three hundred eighteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 12323 24646 36969 49292 73938 86261 98584 110907 135553 147876 172522 221814 258783 271106 295752 345044 406659 443628 517566 542212 690088 776349 813318 887256 948871 1035132 1084424 1219977 1552698 1626636 1897742 2070264 2439954 2846613 3105396 3253272 3795484 4879908 5693226 6210792 7590968 8539839 9759816 11386452 17079678 22772904 34159356 68318712