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85865320 = 2352146633
BaseRepresentation
bin1010001111000…
…11001101101000
312222120102002001
411013203031220
5133440142240
612304220344
72061562132
oct507431550
9188512061
1085865320
1144517982
122490a6b4
1314a34ca8
14b592052
15781189a
hex51e3368

85865320 has 16 divisors (see below), whose sum is σ = 193197060. Its totient is φ = 34346112.

The previous prime is 85865293. The next prime is 85865321. The reversal of 85865320 is 2356858.

It can be written as a sum of positive squares in 2 ways, for example, as 70795396 + 15069924 = 8414^2 + 3882^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85865320.

It is not an unprimeable number, because it can be changed into a prime (85865321) 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 3 ways as a sum of consecutive naturals, for example, 1073277 + ... + 1073356.

Almost surely, 285865320 is an apocalyptic number.

It is an amenable number.

85865320 is an abundant number, since it is smaller than the sum of its proper divisors (107331740).

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

85865320 is a wasteful number, since it uses less digits than its factorization.

85865320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146644 (or 2146640 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 85865320 is about 9266.3541913743. The cubic root of 85865320 is about 441.1699579553.

The spelling of 85865320 in words is "eighty-five million, eight hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2146633 4293266 8586532 10733165 17173064 21466330 42932660 85865320