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8260065 = 3251123741
BaseRepresentation
bin11111100000100111100001
3120112122200100
4133200213201
54103310230
6453013013
7130131552
oct37404741
916478610
108260065
114731a00
122924169
131932918
141150329
15ad2660
hex7e09e1

8260065 has 72 divisors (see below), whose sum is σ = 16556904. Its totient is φ = 3801600.

The previous prime is 8260061. The next prime is 8260067. The reversal of 8260065 is 5600628.

8260065 = 2762 + 2772 + ... + 3572.

8260065 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 576081 + 7683984 = 759^2 + 2772^2 .

It is not a de Polignac number, because 8260065 - 22 = 8260061 is a prime.

8260065 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8260061) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201445 + ... + 201485.

It is an arithmetic number, because the mean of its divisors is an integer number (229957).

Almost surely, 28260065 is an apocalyptic number.

It is an amenable number.

8260065 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

8260065 is a wasteful number, since it uses less digits than its factorization.

8260065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8260065 is about 2874.0328808140. The cubic root of 8260065 is about 202.1441395176.

The spelling of 8260065 in words is "eight million, two hundred sixty thousand, sixty-five".

Divisors: 1 3 5 9 11 15 33 37 41 45 55 99 111 121 123 165 185 205 333 363 369 407 451 495 555 605 615 1089 1221 1353 1517 1665 1815 1845 2035 2255 3663 4059 4477 4551 4961 5445 6105 6765 7585 13431 13653 14883 16687 18315 20295 22385 22755 24805 40293 44649 50061 67155 68265 74415 83435 150183 183557 201465 223245 250305 550671 750915 917785 1652013 2753355 8260065