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86588020 = 2259744633
BaseRepresentation
bin1010010100100…
…11101001110100
320000221010102201
411022103221310
5134131304040
612331514244
72100662131
oct512235164
9200833381
1086588020
1144970952
1224bb8984
1314c28c1c
14b6dd588
157905a9a
hex5293a74

86588020 has 24 divisors (see below), whose sum is σ = 183713544. Its totient is φ = 34277376.

The previous prime is 86588017. The next prime is 86588063. The reversal of 86588020 is 2088568.

It can be written as a sum of positive squares in 4 ways, for example, as 20848356 + 65739664 = 4566^2 + 8108^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20377 + ... + 24256.

It is an arithmetic number, because the mean of its divisors is an integer number (7654731).

Almost surely, 286588020 is an apocalyptic number.

It is an amenable number.

86588020 is an abundant number, since it is smaller than the sum of its proper divisors (97125524).

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

86588020 is a wasteful number, since it uses less digits than its factorization.

86588020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44739 (or 44737 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 86588020 is about 9305.2684002129. The cubic root of 86588020 is about 442.4042287974.

The spelling of 86588020 in words is "eighty-six million, five hundred eighty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 44633 89266 178532 223165 446330 892660 4329401 8658802 17317604 21647005 43294010 86588020