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3117205 = 571321731
BaseRepresentation
bin1011111001000010010101
312212101000001
423321002111
51244222310
6150451301
735332030
oct13710225
95771001
103117205
11183a003
121063b31
13851b00
145b2017
1541893a
hex2f9095

3117205 has 48 divisors (see below), whose sum is σ = 5059584. Its totient is φ = 1797120.

The previous prime is 3117203. The next prime is 3117209. The reversal of 3117205 is 5027113.

3117205 = T49 + T50 + ... + T265.

3117205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3117205 - 21 = 3117203 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117203) 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 47 ways as a sum of consecutive naturals, for example, 100540 + ... + 100570.

It is an arithmetic number, because the mean of its divisors is an integer number (105408).

Almost surely, 23117205 is an apocalyptic number.

3117205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3117205 is a deficient number, since it is larger than the sum of its proper divisors (1942379).

3117205 is a wasteful number, since it uses less digits than its factorization.

3117205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 3117205 is about 1765.5608174175. The cubic root of 3117205 is about 146.0792245322.

The spelling of 3117205 in words is "three million, one hundred seventeen thousand, two hundred five".

Divisors: 1 5 7 13 17 31 35 65 85 91 119 155 169 217 221 403 455 527 595 845 1085 1105 1183 1547 2015 2635 2821 2873 3689 5239 5915 6851 7735 14105 14365 18445 20111 26195 34255 36673 47957 89063 100555 183365 239785 445315 623441 3117205