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86096142 = 23311193751
BaseRepresentation
bin1010010000110…
…11100100001110
320000000010201000
411020123210032
5134020034032
612313201130
72063543106
oct510334416
9200003630
1086096142
1144665340
1224a001a6
1314ab6082
14b612206
157859e7c
hex521b90e

86096142 has 64 divisors (see below), whose sum is σ = 210078720. Its totient is φ = 25920000.

The previous prime is 86096141. The next prime is 86096147. The reversal of 86096142 is 24169068.

86096142 is a `hidden beast` number, since 8 + 609 + 6 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86096097 and 86096106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86096141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114267 + ... + 115017.

It is an arithmetic number, because the mean of its divisors is an integer number (3282480).

Almost surely, 286096142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86096142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105039360).

86096142 is an abundant number, since it is smaller than the sum of its proper divisors (123982578).

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

86096142 is a wasteful number, since it uses less digits than its factorization.

86096142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86096142 is about 9278.8006768116. The cubic root of 86096142 is about 441.5649199745.

The spelling of 86096142 in words is "eighty-six million, ninety-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 193 198 297 386 579 594 751 1158 1502 1737 2123 2253 3474 4246 4506 5211 6369 6759 8261 10422 12738 13518 16522 19107 20277 24783 38214 40554 49566 57321 74349 114642 144943 148698 223047 289886 434829 446094 869658 1304487 1594373 2608974 3188746 3913461 4783119 7826922 9566238 14349357 28698714 43048071 86096142