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1168023285 = 3251121329569
BaseRepresentation
bin100010110011110…
…1001111011110101
310000101211201201200
41011213221323311
54343003221120
6311522443113
740642014462
oct10547517365
93011751650
101168023285
1154a356200
12287203499
13157ca9850
14b11a8669
156c820e90
hex459e9ef5

1168023285 has 144 divisors (see below), whose sum is σ = 2483535600. Its totient is φ = 503838720.

The previous prime is 1168023223. The next prime is 1168023299. The reversal of 1168023285 is 5823208611.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 209873169 + 958150116 = 14487^2 + 30954^2 .

It is not a de Polignac number, because 1168023285 - 26 = 1168023221 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2052481 + ... + 2053049.

It is an arithmetic number, because the mean of its divisors is an integer number (17246775).

Almost surely, 21168023285 is an apocalyptic number.

1168023285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1168023285 is an abundant number, since it is smaller than the sum of its proper divisors (1315512315).

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

1168023285 is a wasteful number, since it uses less digits than its factorization.

1168023285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

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

The square root of 1168023285 is about 34176.3556424614. The cubic root of 1168023285 is about 1053.1344838964.

The spelling of 1168023285 in words is "one billion, one hundred sixty-eight million, twenty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 29 33 39 45 55 65 87 99 117 121 143 145 165 195 261 319 363 377 429 435 495 569 585 605 715 957 1089 1131 1287 1305 1573 1595 1707 1815 1885 2145 2845 2871 3393 3509 4147 4719 4785 5121 5445 5655 6259 6435 7397 7865 8535 10527 12441 14157 14355 16501 16965 17545 18777 20735 22191 23595 25605 31295 31581 36985 37323 45617 49503 52635 56331 62205 66573 68849 70785 81367 82505 93885 110955 136851 148509 157905 181511 186615 206547 214513 228085 244101 247515 281655 332865 344245 406835 410553 544533 619641 643539 684255 732303 742545 895037 907555 1032735 1072565 1220505 1633599 1930617 1996621 2052765 2359643 2685111 2722665 3098205 3217695 3661515 4475185 5989863 7078929 8055333 8167995 9653085 9983105 11798215 13425555 17969589 21236787 25956073 29949315 35394645 40276665 77868219 89847945 106183935 129780365 233604657 389341095 1168023285