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87000084 = 223217142157
BaseRepresentation
bin1010010111110…
…00010000010100
320001201001200100
411023320100110
5134233000314
612344414100
72104326363
oct513702024
9201631610
1087000084
11451224a6
1225177330
1315041652
14b7a97da
157987c09
hex52f8414

87000084 has 36 divisors (see below), whose sum is σ = 232854804. Its totient is φ = 27293952.

The previous prime is 87000079. The next prime is 87000119. The reversal of 87000084 is 48000078.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25220484 + 61779600 = 5022^2 + 7860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 70467 + ... + 71690.

It is an arithmetic number, because the mean of its divisors is an integer number (6468189).

Almost surely, 287000084 is an apocalyptic number.

It is an amenable number.

87000084 is an abundant number, since it is smaller than the sum of its proper divisors (145854720).

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

87000084 is a wasteful number, since it uses less digits than its factorization.

87000084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142184 (or 142179 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87000084 is about 9327.3835559604. The cubic root of 87000084 is about 443.1049047777.

The spelling of 87000084 in words is "eighty-seven million, eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 142157 284314 426471 568628 852942 1279413 1705884 2416669 2558826 4833338 5117652 7250007 9666676 14500014 21750021 29000028 43500042 87000084