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85836114 = 232713229139
BaseRepresentation
bin1010001110111…
…00000101010010
312222111221000100
411013130011102
5133433223424
612303433230
72061411030
oct507340522
9188457010
1085836114
11444a7a41
12248b5816
1314a24900
14b585550
157807dc9
hex51dc152

85836114 has 144 divisors (see below), whose sum is σ = 239803200. Its totient is φ = 21700224.

The previous prime is 85836073. The next prime is 85836119. The reversal of 85836114 is 41163858.

85836114 is a `hidden beast` number, since 8 + 583 + 61 + 14 = 666.

It is not an unprimeable number, because it can be changed into a prime (85836119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 617457 + ... + 617595.

It is an arithmetic number, because the mean of its divisors is an integer number (1665300).

Almost surely, 285836114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85836114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119901600).

85836114 is an abundant number, since it is smaller than the sum of its proper divisors (153967086).

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

85836114 is a wasteful number, since it uses less digits than its factorization.

85836114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 85836114 is about 9264.7781408947. The cubic root of 85836114 is about 441.1199328270.

The spelling of 85836114 in words is "eighty-five million, eight hundred thirty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 58 63 78 87 91 117 126 139 169 174 182 203 234 261 273 278 338 377 406 417 507 522 546 609 754 819 834 973 1014 1131 1183 1218 1251 1521 1638 1807 1827 1946 2262 2366 2502 2639 2919 3042 3393 3549 3614 3654 4031 4901 5278 5421 5838 6786 7098 7917 8062 8757 9802 10647 10842 12093 12649 14703 15834 16263 17514 21294 23491 23751 24186 25298 28217 29406 32526 34307 36279 37947 44109 46982 47502 52403 56434 68614 70473 72558 75894 84651 88218 102921 104806 113841 140946 157209 164437 169302 205842 211419 227682 253953 308763 314418 328874 366821 422838 471627 493311 507906 617526 681239 733642 943254 986622 1100463 1362478 1479933 2043717 2200926 2959866 3301389 4087434 4768673 6131151 6602778 9537346 12262302 14306019 28612038 42918057 85836114