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712080105 = 3511172109137
BaseRepresentation
bin101010011100010…
…111101011101001
31211121220102021020
4222130113223221
52424243030410
6154354203053
723434403202
oct5234275351
91747812236
10712080105
11335a50360
1217a583489
13b46ab999
146a8005a9
15427aba70
hex2a717ae9

712080105 has 96 divisors (see below), whose sum is σ = 1342154880. Its totient is φ = 319610880.

The previous prime is 712080101. The next prime is 712080163. The reversal of 712080105 is 501080217.

It is not a de Polignac number, because 712080105 - 22 = 712080101 is a prime.

It is a super-2 number, since 2×7120801052 = 1014116151873622050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (712080101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5197597 + ... + 5197733.

It is an arithmetic number, because the mean of its divisors is an integer number (13980780).

Almost surely, 2712080105 is an apocalyptic number.

It is an amenable number.

712080105 is a deficient number, since it is larger than the sum of its proper divisors (630074775).

712080105 is a wasteful number, since it uses less digits than its factorization.

712080105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 712080105 is about 26684.8291169346. The cubic root of 712080105 is about 892.9825055396.

The spelling of 712080105 in words is "seven hundred twelve million, eighty thousand, one hundred five".

Divisors: 1 3 5 11 15 17 33 51 55 85 109 137 165 187 255 289 327 411 545 561 685 867 935 1199 1445 1507 1635 1853 2055 2329 2805 3179 3597 4335 4521 5559 5995 6987 7535 9265 9537 11645 14933 15895 17985 20383 22605 25619 27795 31501 34935 39593 44799 47685 61149 74665 76857 94503 101915 118779 128095 157505 164263 197965 223995 253861 305745 346511 384285 435523 472515 492789 593895 761583 821315 1039533 1269305 1306569 1732555 2177615 2463945 2792471 3807915 4315637 5197665 6532845 8377413 12946911 13962355 21578185 41887065 47472007 64734555 142416021 237360035 712080105