Search a number
-
+
86304114 = 232131911931
BaseRepresentation
bin1010010010011…
…10010101110010
320000101200222200
411021032111302
5134043212424
612321444030
72065400331
oct511162562
9200350880
1086304114
1144797616
1224aa0616
1314b59930
14b667d18
15789b8c9
hex524e572

86304114 has 48 divisors (see below), whose sum is σ = 202535424. Its totient is φ = 26402400.

The previous prime is 86304083. The next prime is 86304133. The reversal of 86304114 is 41140368.

It is a Curzon number.

It is an unprimeable number.

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, 43729 + ... + 45659.

It is an arithmetic number, because the mean of its divisors is an integer number (4219488).

Almost surely, 286304114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86304114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101267712).

86304114 is an abundant number, since it is smaller than the sum of its proper divisors (116231310).

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

86304114 is a wasteful number, since it uses less digits than its factorization.

86304114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86304114 is about 9290.0007534984. Note that the first 3 decimals coincide. The cubic root of 86304114 is about 441.9201790027.

The spelling of 86304114 in words is "eighty-six million, three hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 191 234 382 573 1146 1719 1931 2483 3438 3862 4966 5793 7449 11586 14898 17379 22347 25103 34758 44694 50206 75309 150618 225927 368821 451854 737642 1106463 2212926 3319389 4794673 6638778 9589346 14384019 28768038 43152057 86304114