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7106085 = 3257171327
BaseRepresentation
bin11011000110111000100101
3111101000201100
4123012320211
53304343320
6412150313
7114254310
oct33067045
914330640
107106085
1140139a8
122468399
13161a5ac
14d2d977
15955790
hex6c6e25

7106085 has 48 divisors (see below), whose sum is σ = 14916096. Its totient is φ = 3055104.

The previous prime is 7106083. The next prime is 7106089. The reversal of 7106085 is 5806017.

It is not a de Polignac number, because 7106085 - 21 = 7106083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7106083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4692 + ... + 6018.

It is an arithmetic number, because the mean of its divisors is an integer number (310752).

Almost surely, 27106085 is an apocalyptic number.

It is an amenable number.

7106085 is an abundant number, since it is smaller than the sum of its proper divisors (7810011).

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

7106085 is a wasteful number, since it uses less digits than its factorization.

7106085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 7106085 is about 2665.7241042539. The cubic root of 7106085 is about 192.2546263633.

The spelling of 7106085 in words is "seven million, one hundred six 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 1327 1785 3981 5355 6635 9289 11943 19905 22559 27867 46445 59715 67677 83601 112795 139335 157913 203031 338385 418005 473739 789565 1015155 1421217 2368695 7106085