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85634010 = 23457111373
BaseRepresentation
bin1010001101010…
…10101111011010
312222010122210000
411012222233122
5133410242020
612255233430
72056606560
oct506525732
9188118700
1085634010
114437a110
1224818876
1314983917
14b531a30
1577b8090
hex51aabda

85634010 has 160 divisors (see below), whose sum is σ = 287286912. Its totient is φ = 17781120.

The previous prime is 85634009. The next prime is 85634033. The reversal of 85634010 is 1043658.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61684 + ... + 63056.

Almost surely, 285634010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85634010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143643456).

85634010 is an abundant number, since it is smaller than the sum of its proper divisors (201652902).

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

85634010 is a wasteful number, since it uses less digits than its factorization.

85634010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85634010 is about 9253.8645981017. The cubic root of 85634010 is about 440.7734502066.

Adding to 85634010 its reverse (1043658), we get a palindrome (86677668).

The spelling of 85634010 in words is "eighty-five million, six hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 231 270 297 315 330 378 385 405 462 495 567 594 630 693 770 810 891 945 990 1134 1155 1373 1386 1485 1782 1890 2079 2310 2746 2835 2970 3465 4119 4158 4455 5670 6237 6865 6930 8238 8910 9611 10395 12357 12474 13730 15103 19222 20595 20790 24714 28833 30206 31185 37071 41190 45309 48055 57666 61785 62370 74142 75515 86499 90618 96110 105721 111213 123570 135927 144165 151030 172998 185355 211442 222426 226545 259497 271854 288330 317163 370710 407781 432495 453090 518994 528605 556065 634326 679635 778491 815562 864990 951489 1057210 1112130 1223343 1297485 1359270 1556982 1585815 1902978 2038905 2446686 2594970 2854467 3171630 3892455 4077810 4757445 5708934 6116715 7784910 8563401 9514890 12233430 14272335 17126802 28544670 42817005 85634010