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8240085 = 3257237101
BaseRepresentation
bin11111011011101111010101
3120111122021100
4133123233111
54102140320
6452340313
7130016400
oct37335725
916448240
108240085
114718997
122914699
1319267b9
141146d37
15acb790
hex7dbbd5

8240085 has 72 divisors (see below), whose sum is σ = 17232696. Its totient is φ = 3628800.

The previous prime is 8240083. The next prime is 8240093. The reversal of 8240085 is 5800428.

It can be written as a sum of positive squares in 4 ways, for example, as 4588164 + 3651921 = 2142^2 + 1911^2 .

It is not a de Polignac number, because 8240085 - 21 = 8240083 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8240081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81535 + ... + 81635.

It is an arithmetic number, because the mean of its divisors is an integer number (239343).

Almost surely, 28240085 is an apocalyptic number.

It is an amenable number.

8240085 is an abundant number, since it is smaller than the sum of its proper divisors (8992611).

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

8240085 is a wasteful number, since it uses less digits than its factorization.

8240085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8240085 is about 2870.5548244198. The cubic root of 8240085 is about 201.9810213192.

The spelling of 8240085 in words is "eight million, two hundred forty thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 49 63 101 105 111 147 185 245 259 303 315 333 441 505 555 707 735 777 909 1295 1515 1665 1813 2121 2205 2331 3535 3737 3885 4545 4949 5439 6363 9065 10605 11211 11655 14847 16317 18685 24745 26159 27195 31815 33633 44541 56055 74235 78477 81585 130795 168165 183113 222705 235431 392385 549339 915565 1177155 1648017 2746695 8240085