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86001036 = 223111076089
BaseRepresentation
bin1010010000001…
…00010110001100
312222211022020120
411020010112030
5134004013121
612311144540
72062665612
oct510042614
9188738216
1086001036
11445aa940
1224975150
1314a819b4
14b5c96b2
15783bbc6
hex520458c

86001036 has 48 divisors (see below), whose sum is σ = 220993920. Its totient is φ = 25813120.

The previous prime is 86001029. The next prime is 86001077. The reversal of 86001036 is 63010068.

It is a junction number, because it is equal to n+sod(n) for n = 86000997 and 86001015.

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, 11080 + ... + 17168.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 286001036 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 86001036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110496960).

86001036 is an abundant number, since it is smaller than the sum of its proper divisors (134992884).

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

86001036 is a wasteful number, since it uses less digits than its factorization.

86001036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6214 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 86001036 is about 9273.6743527040. The cubic root of 86001036 is about 441.4022686825.

The spelling of 86001036 in words is "eighty-six million, one thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 6089 7062 12178 14124 18267 24356 36534 66979 73068 133958 200937 267916 401874 651523 803748 1303046 1954569 2606092 3909138 7166753 7818276 14333506 21500259 28667012 43000518 86001036