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12888315 = 345112263
BaseRepresentation
bin110001001010…
…100011111011
3220020210110000
4301022203323
511244411230
61140124043
7214356156
oct61124373
926223400
1012888315
117303200
124396623
13289342b
1419d6c9d
1511e8b60
hexc4a8fb

12888315 has 60 divisors (see below), whose sum is σ = 25491312. Its totient is φ = 6225120.

The previous prime is 12888313. The next prime is 12888319. The reversal of 12888315 is 51388821.

It is not a de Polignac number, because 12888315 - 21 = 12888313 is a prime.

It is a super-2 number, since 2×128883152 = 332217327078450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12888315.

It is not an unprimeable number, because it can be changed into a prime (12888311) 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 59 ways as a sum of consecutive naturals, for example, 48874 + ... + 49136.

Almost surely, 212888315 is an apocalyptic number.

12888315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12888315 is a deficient number, since it is larger than the sum of its proper divisors (12602997).

12888315 is a wasteful number, since it uses less digits than its factorization.

12888315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

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

The square root of 12888315 is about 3590.0299441648. The cubic root of 12888315 is about 234.4581752792.

It can be divided in two parts, 12888 and 315, that added together give a triangular number (13203 = T162).

The spelling of 12888315 in words is "twelve million, eight hundred eighty-eight thousand, three hundred fifteen".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 121 135 165 263 297 363 405 495 605 789 891 1089 1315 1485 1815 2367 2893 3267 3945 4455 5445 7101 8679 9801 11835 14465 16335 21303 26037 31823 35505 43395 49005 78111 95469 106515 130185 159115 234333 286407 390555 477345 859221 1171665 1432035 2577663 4296105 12888315