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68250006 = 23311891291
BaseRepresentation
bin1000001000101…
…10100110010110
311202102110102000
410010112212112
5114433000011
610434500130
71456054416
oct404264626
9152373360
1068250006
1135586270
121aa34646
13111a8126
1490c8646
155ed2356
hex4116996

68250006 has 64 divisors (see below), whose sum is σ = 167443200. Its totient is φ = 20433600.

The previous prime is 68250001. The next prime is 68250029. The reversal of 68250006 is 60005286.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68250001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52221 + ... + 53511.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 268250006 is an apocalyptic number.

68250006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68250006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721600).

68250006 is an abundant number, since it is smaller than the sum of its proper divisors (99193194).

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

68250006 is a wasteful number, since it uses less digits than its factorization.

68250006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68250006 is about 8261.3561840657. The cubic root of 68250006 is about 408.6651132537.

The spelling of 68250006 in words is "sixty-eight million, two hundred fifty thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 89 99 178 198 267 297 534 594 801 979 1291 1602 1958 2403 2582 2937 3873 4806 5874 7746 8811 11619 14201 17622 23238 26433 28402 34857 42603 52866 69714 85206 114899 127809 229798 255618 344697 383427 689394 766854 1034091 1263889 2068182 2527778 3102273 3791667 6204546 7583334 11375001 22750002 34125003 68250006