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14002065 = 345711449
BaseRepresentation
bin110101011010…
…011110010001
3222100101020000
4311122132101
512041031230
61220040213
7230005230
oct65323621
928311200
1014002065
1179a3a60
124833069
132b9335c
141c06b17
151368b60
hexd5a791

14002065 has 80 divisors (see below), whose sum is σ = 31363200. Its totient is φ = 5806080.

The previous prime is 14002063. The next prime is 14002091. The reversal of 14002065 is 56020041.

It is a happy number.

It is not a de Polignac number, because 14002065 - 21 = 14002063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14002063) 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 79 ways as a sum of consecutive naturals, for example, 30961 + ... + 31409.

It is an arithmetic number, because the mean of its divisors is an integer number (392040).

Almost surely, 214002065 is an apocalyptic number.

14002065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14002065 is an abundant number, since it is smaller than the sum of its proper divisors (17361135).

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

14002065 is a wasteful number, since it uses less digits than its factorization.

14002065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14002065 is about 3741.9333238314. The cubic root of 14002065 is about 241.0260757011.

The spelling of 14002065 in words is "fourteen million, two thousand, sixty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 449 495 567 693 891 945 1155 1347 1485 2079 2245 2835 3143 3465 4041 4455 4939 6237 6735 9429 10395 12123 14817 15715 20205 24695 28287 31185 34573 36369 44451 47145 60615 74085 84861 103719 133353 141435 172865 181845 222255 254583 311157 400059 424305 518595 666765 933471 1272915 1555785 2000295 2800413 4667355 14002065