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86066316 = 223272911777
BaseRepresentation
bin1010010000101…
…00010010001100
312222221121210100
411020110102030
5134013110231
612312411100
72063360130
oct510242214
9188847710
1086066316
1144644996
12249a6a90
1314aa561b
14b6053c0
1578511e6
hex521448c

86066316 has 72 divisors (see below), whose sum is σ = 257231520. Its totient is φ = 23740416.

The previous prime is 86066311. The next prime is 86066317. The reversal of 86066316 is 61366068.

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

It is not an unprimeable number, because it can be changed into a prime (86066311) 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, 1420 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (3572660).

Almost surely, 286066316 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 86066316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128615760).

86066316 is an abundant number, since it is smaller than the sum of its proper divisors (171165204).

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

86066316 is a wasteful number, since it uses less digits than its factorization.

86066316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11823 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 86066316 is about 9277.1933255700. The cubic root of 86066316 is about 441.5139241299.

It can be divided in two parts, 860 and 66316, that added together give a palindrome (67176).

The spelling of 86066316 in words is "eighty-six million, sixty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 11777 23554 35331 47108 70662 82439 105993 141324 164878 211986 247317 329756 341533 423972 494634 683066 741951 989268 1024599 1366132 1483902 2049198 2390731 2967804 3073797 4098396 4781462 6147594 7172193 9562924 12295188 14344386 21516579 28688772 43033158 86066316