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86061366 = 23667881
BaseRepresentation
bin1010010000100…
…11000100110110
312222221101000000
411020103010312
5134012430431
612312332130
72063336526
oct510230466
9188841000
1086061366
11446411a6
12249a4046
1314aa32b1
14b603686
15784e9e6
hex5213136

86061366 has 56 divisors (see below), whose sum is σ = 196661304. Its totient is φ = 28226880.

The previous prime is 86061359. The next prime is 86061373. The reversal of 86061366 is 66316068.

It is an interprime number because it is at equal distance from previous prime (86061359) and next prime (86061373).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86061366.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 97246 + ... + 98126.

It is an arithmetic number, because the mean of its divisors is an integer number (3511809).

Almost surely, 286061366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86061366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98330652).

86061366 is an abundant number, since it is smaller than the sum of its proper divisors (110599938).

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

86061366 is an equidigital number, since it uses as much as digits as its factorization.

86061366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

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

The square root of 86061366 is about 9276.9265384609. The cubic root of 86061366 is about 441.5054595880.

It can be divided in two parts, 860 and 61366, that added together give a palindrome (62226).

The spelling of 86061366 in words is "eighty-six million, sixty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 243 402 486 603 729 881 1206 1458 1762 1809 2643 3618 5286 5427 7929 10854 15858 16281 23787 32562 47574 48843 59027 71361 97686 118054 142722 177081 214083 354162 428166 531243 642249 1062486 1284498 1593729 3187458 4781187 9562374 14343561 28687122 43030683 86061366