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86126085 = 345297333
BaseRepresentation
bin1010010001000…
…10111000000101
320000001122210000
411020202320011
5134022013320
612313551513
72064026313
oct510427005
9200048700
1086126085
1144685891
1224a15599
1314ac68a6
14b61d0b3
157863c90
hex5222e05

86126085 has 40 divisors (see below), whose sum is σ = 159734520. Its totient is φ = 44343936.

The previous prime is 86126077. The next prime is 86126111. The reversal of 86126085 is 58062168.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 86099841 = 162^2 + 9279^2 .

It is not a de Polignac number, because 86126085 - 23 = 86126077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8079 + ... + 15411.

It is an arithmetic number, because the mean of its divisors is an integer number (3993363).

Almost surely, 286126085 is an apocalyptic number.

It is an amenable number.

86126085 is a deficient number, since it is larger than the sum of its proper divisors (73608435).

86126085 is a wasteful number, since it uses less digits than its factorization.

86126085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 86126085 is about 9280.4140532629. The cubic root of 86126085 is about 441.6161040175.

The spelling of 86126085 in words is "eighty-six million, one hundred twenty-six thousand, eighty-five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 261 405 435 783 1305 2349 3915 7333 11745 21999 36665 65997 109995 197991 212657 329985 593973 637971 989955 1063285 1913913 2969865 3189855 5741739 9569565 17225217 28708695 86126085