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68027688 = 2334611721
BaseRepresentation
bin1000000111000…
…00010100101000
311202000011110000
410003200110220
5114403341223
610430023000
71454140311
oct403402450
9152004400
1068027688
1135444233
121a947a60
131112ab91
14906b608
155e8b543
hex40e0528

68027688 has 80 divisors (see below), whose sum is σ = 193776660. Its totient is φ = 22291200.

The previous prime is 68027683. The next prime is 68027717. The reversal of 68027688 is 88672086.

It can be written as a sum of positive squares in 2 ways, for example, as 65901924 + 2125764 = 8118^2 + 1458^2 .

It is not an unprimeable number, because it can be changed into a prime (68027681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38668 + ... + 40388.

Almost surely, 268027688 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 68027688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96888330).

68027688 is an abundant number, since it is smaller than the sum of its proper divisors (125748972).

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

68027688 is a wasteful number, since it uses less digits than its factorization.

68027688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 68027688 is about 8247.8899119714. The cubic root of 68027688 is about 408.2209011384.

The spelling of 68027688 in words is "sixty-eight million, twenty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 1721 2196 3294 3442 4392 4941 5163 6588 6884 9882 10326 13176 13768 15489 19764 20652 30978 39528 41304 46467 61956 92934 104981 123912 139401 185868 209962 278802 314943 371736 419924 557604 629886 839848 944829 1115208 1259772 1889658 2519544 2834487 3779316 5668974 7558632 8503461 11337948 17006922 22675896 34013844 68027688