Search a number
-
+
327105086 = 272113759139
BaseRepresentation
bin10011011111110…
…011101000111110
3211210111122211012
4103133303220332
51132214330321
652242555222
711051230100
oct2337635076
9753448735
10327105086
11158707990
1291668b12
13529cb209
143162b570
151dab505b
hex137f3a3e

327105086 has 96 divisors (see below), whose sum is σ = 654998400. Its totient is φ = 121020480.

The previous prime is 327105073. The next prime is 327105089. The reversal of 327105086 is 680501723.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327105089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2353205 + ... + 2353343.

It is an arithmetic number, because the mean of its divisors is an integer number (6822900).

Almost surely, 2327105086 is an apocalyptic number.

327105086 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

327105086 is a wasteful number, since it uses less digits than its factorization.

327105086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 327105086 is about 18086.0467211605. The cubic root of 327105086 is about 689.0156699005.

The spelling of 327105086 in words is "three hundred twenty-seven million, one hundred five thousand, eighty-six".

Divisors: 1 2 7 11 14 22 37 49 59 74 77 98 118 139 154 259 278 407 413 518 539 649 814 826 973 1078 1298 1529 1813 1946 2183 2849 2891 3058 3626 4366 4543 5143 5698 5782 6811 8201 9086 10286 10703 13622 15281 16402 19943 21406 24013 30562 31801 36001 39886 48026 56573 57407 63602 72002 74921 90211 106967 113146 114814 149842 168091 180422 213934 252007 303437 336182 396011 401849 504014 606874 631477 792022 803698 1176637 1262954 2124059 2353274 2772077 3337807 4248118 4420339 5544154 6675614 8840678 14868413 23364649 29736826 46729298 163552543 327105086