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86360085 = 32571716127
BaseRepresentation
bin1010010010111…
…00000000010101
320000111112202200
411021130000111
5134102010320
612322555113
72066022450
oct511340025
9200445680
1086360085
1144825679
1224b08a99
1314b79256
14b680497
1578ad290
hex525c015

86360085 has 48 divisors (see below), whose sum is σ = 181149696. Its totient is φ = 37154304.

The previous prime is 86360083. The next prime is 86360093. The reversal of 86360085 is 58006368.

It is not a de Polignac number, because 86360085 - 21 = 86360083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86360081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2709 + ... + 13418.

It is an arithmetic number, because the mean of its divisors is an integer number (3773952).

Almost surely, 286360085 is an apocalyptic number.

86360085 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86360085 is an abundant number, since it is smaller than the sum of its proper divisors (94789611).

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

86360085 is a wasteful number, since it uses less digits than its factorization.

86360085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16162 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86360085 is about 9293.0126977208. The cubic root of 86360085 is about 442.0156915186.

The spelling of 86360085 in words is "eighty-six million, three hundred sixty thousand, eighty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 16127 48381 80635 112889 145143 241905 274159 338667 564445 725715 822477 1016001 1370795 1693335 1919113 2467431 4112385 5080005 5757339 9595565 12337155 17272017 28786695 86360085