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86986068 = 223133171759
BaseRepresentation
bin1010010111101…
…00110101010100
320001200100110020
411023310311110
5134232023233
612344225140
72104240461
oct513646524
9201610406
1086986068
1145112a14
122516b1b0
1315038160
14b7a4668
1579839b3
hex52f4d54

86986068 has 48 divisors (see below), whose sum is σ = 219394560. Its totient is φ = 26665344.

The previous prime is 86986057. The next prime is 86986073. The reversal of 86986068 is 86068968.

It is a super-2 number, since 2×869860682 = 15133152052201248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86986068.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48573 + ... + 50331.

It is an arithmetic number, because the mean of its divisors is an integer number (4570720).

Almost surely, 286986068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86986068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109697280).

86986068 is an abundant number, since it is smaller than the sum of its proper divisors (132408492).

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

86986068 is a wasteful number, since it uses less digits than its factorization.

86986068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 86986068 is about 9326.6321895956. The cubic root of 86986068 is about 443.0811082801.

The spelling of 86986068 in words is "eighty-six million, nine hundred eighty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 317 634 951 1268 1759 1902 3518 3804 4121 5277 7036 8242 10554 12363 16484 21108 22867 24726 45734 49452 68601 91468 137202 274404 557603 1115206 1672809 2230412 3345618 6691236 7248839 14497678 21746517 28995356 43493034 86986068