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68351766 = 23721371697
BaseRepresentation
bin1000001001011…
…11011100010110
311202121121222220
410010233130112
5114444224031
610441003210
71456660200
oct404573426
9152547886
1068351766
113564576a
121aa83506
1311212542
149113770
156002596
hex412f716

68351766 has 48 divisors (see below), whose sum is σ = 160277616. Its totient is φ = 19375104.

The previous prime is 68351761. The next prime is 68351783. The reversal of 68351766 is 66715386.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68351761) by changing a digit.

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, 39430 + ... + 41126.

It is an arithmetic number, because the mean of its divisors is an integer number (3339117).

Almost surely, 268351766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68351766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80138808).

68351766 is an abundant number, since it is smaller than the sum of its proper divisors (91925850).

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

68351766 is a wasteful number, since it uses less digits than its factorization.

68351766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1846 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 68351766 is about 8267.5126852035. The cubic root of 68351766 is about 408.8681174413.

Subtracting from 68351766 its product of digits (181440), we obtain a triangular number (68170326 = T11676).

The spelling of 68351766 in words is "sixty-eight million, three hundred fifty-one thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 137 147 274 294 411 822 959 1697 1918 2877 3394 5091 5754 6713 10182 11879 13426 20139 23758 35637 40278 71274 83153 166306 232489 249459 464978 498918 697467 1394934 1627423 3254846 4882269 9764538 11391961 22783922 34175883 68351766