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85852140 = 223511130079
BaseRepresentation
bin1010001110111…
…11111111101100
312222112201222220
411013133333230
5133434232030
612304035340
72061505533
oct507377754
9188481886
1085852140
1144508a90
1224902b50
1314a2bcaa
14b58b31a
15780ca10
hex51dffec

85852140 has 48 divisors (see below), whose sum is σ = 262241280. Its totient is φ = 20812480.

The previous prime is 85852133. The next prime is 85852141. The reversal of 85852140 is 4125858.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (85852141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64380 + ... + 65699.

It is an arithmetic number, because the mean of its divisors is an integer number (5463360).

Almost surely, 285852140 is an apocalyptic number.

It is an amenable number.

85852140 is an abundant number, since it is smaller than the sum of its proper divisors (176389140).

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

85852140 is a wasteful number, since it uses less digits than its factorization.

85852140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130102 (or 130100 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 85852140 is about 9265.6429890213. The cubic root of 85852140 is about 441.1473841634.

Adding to 85852140 its reverse (4125858), we get a palindrome (89977998).

The spelling of 85852140 in words is "eighty-five million, eight hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 130079 260158 390237 520316 650395 780474 1300790 1430869 1560948 1951185 2601580 2861738 3902370 4292607 5723476 7154345 7804740 8585214 14308690 17170428 21463035 28617380 42926070 85852140