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85832660 = 22517252449
BaseRepresentation
bin1010001110110…
…11001111010100
312222111202021102
411013123033110
5133433121120
612303405232
72061364664
oct507331724
9188452242
1085832660
11444a5391
12248b3818
1314a23174
14b5841a4
157806d75
hex51db3d4

85832660 has 24 divisors (see below), whose sum is σ = 190852200. Its totient is φ = 32313344.

The previous prime is 85832657. The next prime is 85832683. The reversal of 85832660 is 6623858.

It can be written as a sum of positive squares in 4 ways, for example, as 7474756 + 78357904 = 2734^2 + 8852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125885 + ... + 126564.

It is an arithmetic number, because the mean of its divisors is an integer number (7952175).

Almost surely, 285832660 is an apocalyptic number.

It is an amenable number.

85832660 is an abundant number, since it is smaller than the sum of its proper divisors (105019540).

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

85832660 is a wasteful number, since it uses less digits than its factorization.

85832660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252475 (or 252473 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 85832660 is about 9264.5917341241. The cubic root of 85832660 is about 441.1140159364.

The spelling of 85832660 in words is "eighty-five million, eight hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 252449 504898 1009796 1262245 2524490 4291633 5048980 8583266 17166532 21458165 42916330 85832660