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13181868 = 22327172181
BaseRepresentation
bin110010010010…
…001110101100
3220210201010100
4302102032230
511333304433
61150311100
7220021050
oct62221654
926721110
1013181868
117493807
1244b8490
132966c2b
141a71c60
151255b13
hexc923ac

13181868 has 108 divisors (see below), whose sum is σ = 40676272. Its totient is φ = 3525120.

The previous prime is 13181843. The next prime is 13181873. The reversal of 13181868 is 86818131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72738 + ... + 72918.

Almost surely, 213181868 is an apocalyptic number.

13181868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13181868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20338136).

13181868 is an abundant number, since it is smaller than the sum of its proper divisors (27494404).

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

13181868 is a wasteful number, since it uses less digits than its factorization.

13181868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 13181868 is about 3630.6842330338. The cubic root of 13181868 is about 236.2248885714.

Adding to 13181868 its reverse (86818131), we get a palindrome (99999999).

The spelling of 13181868 in words is "thirteen million, one hundred eighty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 181 204 238 252 289 306 357 362 476 543 578 612 714 724 867 1071 1086 1156 1267 1428 1629 1734 2023 2142 2172 2534 2601 3077 3258 3468 3801 4046 4284 5068 5202 6069 6154 6516 7602 8092 9231 10404 11403 12138 12308 15204 18207 18462 21539 22806 24276 27693 36414 36924 43078 45612 52309 55386 64617 72828 86156 104618 110772 129234 156927 193851 209236 258468 313854 366163 387702 470781 627708 732326 775404 941562 1098489 1464652 1883124 2196978 3295467 4393956 6590934 13181868