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12643104 = 2531761127
BaseRepresentation
bin110000001110…
…101100100000
3212210100002010
4300032230200
511214034404
61130552520
7212315235
oct60165440
925710063
1012643104
117155a51
124298740
132808936
14197178c
15119b189
hexc0eb20

12643104 has 96 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 3870720.

The previous prime is 12643049. The next prime is 12643109. The reversal of 12643104 is 40134621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12643109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99489 + ... + 99615.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 212643104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

12643104 is an abundant number, since it is smaller than the sum of its proper divisors (23354592).

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

12643104 is a wasteful number, since it uses less digits than its factorization.

12643104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12643104 is about 3555.7142742352. The cubic root of 12643104 is about 232.9617232217.

Adding to 12643104 its reverse (40134621), we get a palindrome (52777725).

The spelling of 12643104 in words is "twelve million, six hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 68 96 102 122 127 136 183 204 244 254 272 366 381 408 488 508 544 732 762 816 976 1016 1037 1464 1524 1632 1952 2032 2074 2159 2928 3048 3111 4064 4148 4318 5856 6096 6222 6477 7747 8296 8636 12192 12444 12954 15494 16592 17272 23241 24888 25908 30988 33184 34544 46482 49776 51816 61976 69088 92964 99552 103632 123952 131699 185928 207264 247904 263398 371856 395097 526796 743712 790194 1053592 1580388 2107184 3160776 4214368 6321552 12643104