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13188285 = 3351183107
BaseRepresentation
bin110010010011…
…110010111101
3220211000221000
4302103302331
511334011120
61150400513
7220045545
oct62236275
926730830
1013188285
117498610
124500139
132969b26
141a74325
151257990
hexc93cbd

13188285 has 64 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 6258240.

The previous prime is 13188283. The next prime is 13188323. The reversal of 13188285 is 58288131.

It is not a de Polignac number, because 13188285 - 21 = 13188283 is a prime.

It is a super-2 number, since 2×131882852 = 347861722482450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13188281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123202 + ... + 123308.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 213188285 is an apocalyptic number.

13188285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13188285 is a deficient number, since it is larger than the sum of its proper divisors (12939075).

13188285 is a wasteful number, since it uses less digits than its factorization.

13188285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 13188285 is about 3631.5678432325. The cubic root of 13188285 is about 236.2632141765.

The spelling of 13188285 in words is "thirteen million, one hundred eighty-eight thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 83 99 107 135 165 249 297 321 415 495 535 747 913 963 1177 1245 1485 1605 2241 2739 2889 3531 3735 4565 4815 5885 8217 8881 10593 11205 13695 14445 17655 24651 26643 31779 41085 44405 52965 79929 97691 123255 133215 158895 239787 293073 399645 488455 879219 1198935 1465365 2637657 4396095 13188285