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86865012 = 223213313593
BaseRepresentation
bin1010010110101…
…11010001110100
320001110012101200
411023113101310
5134214140022
612341452500
72103224523
oct513272164
9201405350
1086865012
114503aa73
1225111130
1314cc5020
14b7724ba
15795cbac
hex52d7474

86865012 has 72 divisors (see below), whose sum is σ = 237621384. Its totient is φ = 26597376.

The previous prime is 86865001. The next prime is 86865013. The reversal of 86865012 is 21056868.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 820836 + 86044176 = 906^2 + 9276^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86865013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146188 + ... + 146780.

It is an arithmetic number, because the mean of its divisors is an integer number (3300297).

Almost surely, 286865012 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 86865012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118810692).

86865012 is an abundant number, since it is smaller than the sum of its proper divisors (150756372).

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

86865012 is a wasteful number, since it uses less digits than its factorization.

86865012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 86865012 is about 9320.1401277019. The cubic root of 86865012 is about 442.8754717948.

The spelling of 86865012 in words is "eighty-six million, eight hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 313 468 593 626 939 1186 1252 1779 1878 2372 2817 3558 3756 4069 5337 5634 7116 7709 8138 10674 11268 12207 15418 16276 21348 23127 24414 30836 36621 46254 48828 69381 73242 92508 138762 146484 185609 277524 371218 556827 742436 1113654 1670481 2227308 2412917 3340962 4825834 6681924 7238751 9651668 14477502 21716253 28955004 43432506 86865012