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86102370 = 232567109131
BaseRepresentation
bin1010010000111…
…01000101100010
320000000110020200
411020131011202
5134020233440
612313250030
72063600214
oct510350542
9200013220
1086102370
1144669a92
1224a03916
1314ab8b63
14b6145b4
15785bc30
hex521d162

86102370 has 96 divisors (see below), whose sum is σ = 231042240. Its totient is φ = 22239360.

The previous prime is 86102351. The next prime is 86102371. The reversal of 86102370 is 7320168.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86102371) 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 47 ways as a sum of consecutive naturals, for example, 657205 + ... + 657335.

It is an arithmetic number, because the mean of its divisors is an integer number (2406690).

Almost surely, 286102370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86102370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115521120).

86102370 is an abundant number, since it is smaller than the sum of its proper divisors (144939870).

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

86102370 is a wasteful number, since it uses less digits than its factorization.

86102370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 86102370 is about 9279.1362744600. The cubic root of 86102370 is about 441.5755669866.

The spelling of 86102370 in words is "eighty-six million, one hundred two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 109 131 134 201 218 262 327 335 393 402 545 603 654 655 670 786 981 1005 1090 1179 1206 1310 1635 1962 1965 2010 2358 3015 3270 3930 4905 5895 6030 7303 8777 9810 11790 14279 14606 17554 21909 26331 28558 36515 42837 43818 43885 52662 65727 71395 73030 78993 85674 87770 109545 128511 131454 131655 142790 157986 214185 219090 257022 263310 328635 394965 428370 642555 657270 789930 956693 1285110 1913386 2870079 4783465 5740158 8610237 9566930 14350395 17220474 28700790 43051185 86102370