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86091021 = 32411811289
BaseRepresentation
bin1010010000110…
…10010100001101
312222222212200100
411020122110031
5134014403041
612313121313
72063522142
oct510322415
9188885610
1086091021
1144661505
12249b9239
1314ab3943
14b6103c9
1578586b6
hex521a50d

86091021 has 24 divisors (see below), whose sum is σ = 128189880. Its totient is φ = 55641600.

The previous prime is 86091013. The next prime is 86091041. The reversal of 86091021 is 12019068.

It can be written as a sum of positive squares in 4 ways, for example, as 324900 + 85766121 = 570^2 + 9261^2 .

It is not a de Polignac number, because 86091021 - 23 = 86091013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86091041) 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 23 ways as a sum of consecutive naturals, for example, 66145 + ... + 67433.

It is an arithmetic number, because the mean of its divisors is an integer number (5341245).

Almost surely, 286091021 is an apocalyptic number.

It is an amenable number.

86091021 is a deficient number, since it is larger than the sum of its proper divisors (42098859).

86091021 is a wasteful number, since it uses less digits than its factorization.

86091021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 86091021 is about 9278.5247210966. The cubic root of 86091021 is about 441.5561650379.

The spelling of 86091021 in words is "eighty-six million, ninety-one thousand, twenty-one".

Divisors: 1 3 9 41 123 181 369 543 1289 1629 3867 7421 11601 22263 52849 66789 158547 233309 475641 699927 2099781 9565669 28697007 86091021