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86063076 = 223211713061
BaseRepresentation
bin1010010000100…
…11011111100100
312222221110100100
411020103133210
5134013004301
612312344100
72063344521
oct510233744
9188843310
1086063076
1144642510
12249a5030
1314aa3cc8
14b604148
157850286
hex52137e4

86063076 has 72 divisors (see below), whose sum is σ = 240746688. Its totient is φ = 25704000.

The previous prime is 86063017. The next prime is 86063077. The reversal of 86063076 is 67036068.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86063076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86063077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26586 + ... + 29646.

It is an arithmetic number, because the mean of its divisors is an integer number (3343704).

Almost surely, 286063076 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 86063076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120373344).

86063076 is an abundant number, since it is smaller than the sum of its proper divisors (154683612).

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

86063076 is a wasteful number, since it uses less digits than its factorization.

86063076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 86063076 is about 9277.0187021478. The cubic root of 86063076 is about 441.5083837392.

It can be divided in two parts, 860 and 63076, that added together give a palindrome (63936).

The spelling of 86063076 in words is "eighty-six million, sixty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3061 3124 4686 6122 7029 9183 9372 12244 14058 18366 27549 28116 33671 36732 55098 67342 101013 110196 134684 202026 217331 303039 404052 434662 606078 651993 869324 1212156 1303986 1955979 2390641 2607972 3911958 4781282 7171923 7823916 9562564 14343846 21515769 28687692 43031538 86063076