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85827660 = 22351430461
BaseRepresentation
bin1010001110110…
…10000001001100
312222111111102020
411013122001030
5133432441120
612303330140
72061344262
oct507320114
9188444366
1085827660
11444a1656
12248b0950
1314a20ac9
14b582432
157805640
hex51da04c

85827660 has 24 divisors (see below), whose sum is σ = 240317616. Its totient is φ = 22887360.

The previous prime is 85827659. The next prime is 85827667. The reversal of 85827660 is 6672858.

It is a super-3 number, since 3×858276603 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (85827667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715171 + ... + 715290.

It is an arithmetic number, because the mean of its divisors is an integer number (10013234).

Almost surely, 285827660 is an apocalyptic number.

It is an amenable number.

85827660 is an abundant number, since it is smaller than the sum of its proper divisors (154489956).

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

85827660 is a wasteful number, since it uses less digits than its factorization.

85827660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430473 (or 1430471 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 85827660 is about 9264.3218855996. The cubic root of 85827660 is about 441.1054503822.

The spelling of 85827660 in words is "eighty-five million, eight hundred twenty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1430461 2860922 4291383 5721844 7152305 8582766 14304610 17165532 21456915 28609220 42913830 85827660