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20008065 = 35711171019
BaseRepresentation
bin100110001010…
…0110010000001
31101122111220110
41030110302001
520110224230
61552501533
7332031360
oct114246201
941574813
1020008065
11103263a0
12684a8a9
1341b6cbc
14292b7d7
151b534b0
hex1314c81

20008065 has 64 divisors (see below), whose sum is σ = 42301440. Its totient is φ = 7818240.

The previous prime is 20008049. The next prime is 20008073. The reversal of 20008065 is 56080002.

It is a happy number.

It is not a de Polignac number, because 20008065 - 24 = 20008049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19126 + ... + 20144.

It is an arithmetic number, because the mean of its divisors is an integer number (660960).

Almost surely, 220008065 is an apocalyptic number.

It is an amenable number.

20008065 is an abundant number, since it is smaller than the sum of its proper divisors (22293375).

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

20008065 is a wasteful number, since it uses less digits than its factorization.

20008065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20008065 is about 4473.0375585278. The cubic root of 20008065 is about 271.4782430530.

Adding to 20008065 its reverse (56080002), we get a palindrome (76088067).

The spelling of 20008065 in words is "twenty million, eight thousand, sixty-five".

Divisors: 1 3 5 7 11 15 17 21 33 35 51 55 77 85 105 119 165 187 231 255 357 385 561 595 935 1019 1155 1309 1785 2805 3057 3927 5095 6545 7133 11209 15285 17323 19635 21399 33627 35665 51969 56045 78463 86615 106995 121261 168135 190553 235389 259845 363783 392315 571659 606305 952765 1176945 1333871 1818915 2858295 4001613 6669355 20008065