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1085371812 = 223473731283
BaseRepresentation
bin100000010110001…
…0111010110100100
32210122022121020000
41000230113112210
54210323344222
6255411141300
735616336210
oct10054272644
92718277200
101085371812
115077339a8
122635a4830
13143b2b655
14a4211940
15654469ac
hex40b175a4

1085371812 has 120 divisors (see below), whose sum is σ = 3253943616. Its totient is φ = 309033792.

The previous prime is 1085371787. The next prime is 1085371813. The reversal of 1085371812 is 2181735801.

1085371812 is a `hidden beast` number, since 108 + 537 + 1 + 8 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1085371813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 845323 + ... + 846605.

Almost surely, 21085371812 is an apocalyptic number.

1085371812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085371812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626971808).

1085371812 is an abundant number, since it is smaller than the sum of its proper divisors (2168571804).

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

1085371812 is a wasteful number, since it uses less digits than its factorization.

1085371812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1085371812 is about 32944.9815905245. The cubic root of 1085371812 is about 1027.6838053617.

The spelling of 1085371812 in words is "one billion, eighty-five million, three hundred seventy-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 373 378 567 746 756 1119 1134 1283 1492 2238 2268 2566 2611 3357 3849 4476 5132 5222 6714 7698 7833 8981 10071 10444 11547 13428 15396 15666 17962 20142 23094 23499 26943 30213 31332 34641 35924 40284 46188 46998 53886 60426 69282 70497 80829 93996 103923 107772 120852 138564 140994 161658 207846 211491 242487 281988 323316 415692 422982 478559 484974 727461 845964 957118 969948 1435677 1454922 1914236 2871354 2909844 3349913 4307031 5742708 6699826 8614062 10049739 12921093 13399652 17228124 20099478 25842186 30149217 38763279 40198956 51684372 60298434 77526558 90447651 120596868 155053116 180895302 271342953 361790604 542685906 1085371812