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67082085 = 32571712527
BaseRepresentation
bin1111111111100…
…1011101100101
311200020010022200
43333321131211
5114133111320
610353445113
71443121410
oct377713545
9150203280
1067082085
1134958844
121a570799
1310b89655
148ca2b77
155d51290
hex3ff9765

67082085 has 48 divisors (see below), whose sum is σ = 140714496. Its totient is φ = 28859904.

The previous prime is 67082083. The next prime is 67082101. The reversal of 67082085 is 58028076.

It is not a de Polignac number, because 67082085 - 21 = 67082083 is a prime.

It is a super-2 number, since 2×670820852 = 9000012255894450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67082083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909 + ... + 11618.

It is an arithmetic number, because the mean of its divisors is an integer number (2931552).

Almost surely, 267082085 is an apocalyptic number.

It is an amenable number.

67082085 is an abundant number, since it is smaller than the sum of its proper divisors (73632411).

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

67082085 is a wasteful number, since it uses less digits than its factorization.

67082085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562 (or 12559 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 67082085 is about 8190.3653764652. The cubic root of 67082085 is about 406.3206091076.

The spelling of 67082085 in words is "sixty-seven million, eighty-two thousand, eighty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 12527 37581 62635 87689 112743 187905 212959 263067 438445 563715 638877 789201 1064795 1315335 1490713 1916631 3194385 3946005 4472139 7453565 9583155 13416417 22360695 67082085