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86107125 = 35313171039
BaseRepresentation
bin1010010000111…
…10001111110101
320000000200202210
411020132033311
5134020412000
612313324033
72063620116
oct510361765
9200020683
1086107125
1144672615
1224a06619
1314abb080
14b61620d
15785d350
hex521e3f5

86107125 has 64 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 39859200.

The previous prime is 86107081. The next prime is 86107129. The reversal of 86107125 is 52170168.

It is not a de Polignac number, because 86107125 - 213 = 86098933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86107092 and 86107101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86107129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82356 + ... + 83394.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 286107125 is an apocalyptic number.

86107125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86107125 is a deficient number, since it is larger than the sum of its proper divisors (77430795).

86107125 is a wasteful number, since it uses less digits than its factorization.

86107125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 86107125 is about 9279.3924908908. The cubic root of 86107125 is about 441.5836955015.

The spelling of 86107125 in words is "eighty-six million, one hundred seven thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 17 25 39 51 65 75 85 125 195 221 255 325 375 425 663 975 1039 1105 1275 1625 2125 3117 3315 4875 5195 5525 6375 13507 15585 16575 17663 25975 27625 40521 52989 67535 77925 82875 88315 129875 202605 229619 264945 337675 389625 441575 688857 1013025 1148095 1324725 1688375 2207875 3444285 5065125 5740475 6623625 17221425 28702375 86107125