Search a number
-
+
18432036 = 22377243
BaseRepresentation
bin100011001010…
…0000000100100
31021200110000000
41012110000210
514204311121
61455021300
7312445500
oct106240044
937613000
1018432036
11a44a297
12620a830
133a8483c
14263b300
151941526
hex1194024

18432036 has 144 divisors (see below), whose sum is σ = 57583680. Its totient is φ = 5143824.

The previous prime is 18432017. The next prime is 18432041. The reversal of 18432036 is 63023481.

It is a happy number.

It is a super-2 number, since 2×184320362 = 679479902210592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428631 + ... + 428673.

Almost surely, 218432036 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 18432036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28791840).

18432036 is an abundant number, since it is smaller than the sum of its proper divisors (39151644).

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

18432036 is an equidigital number, since it uses as much as digits as its factorization.

18432036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 18432036 is about 4293.2547094250. The cubic root of 18432036 is about 264.1543518868.

The spelling of 18432036 in words is "eighteen million, four hundred thirty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 49 54 63 81 84 86 98 108 126 129 147 162 172 189 196 243 252 258 294 301 324 378 387 441 486 516 567 588 602 729 756 774 882 903 972 1134 1161 1204 1323 1458 1548 1701 1764 1806 2107 2187 2268 2322 2646 2709 2916 3402 3483 3612 3969 4214 4374 4644 5103 5292 5418 6321 6804 6966 7938 8127 8428 8748 10206 10449 10836 11907 12642 13932 15309 15876 16254 18963 20412 20898 23814 24381 25284 30618 31347 32508 35721 37926 41796 47628 48762 56889 61236 62694 71442 73143 75852 94041 97524 107163 113778 125388 142884 146286 170667 188082 214326 219429 227556 292572 341334 376164 428652 438858 512001 658287 682668 877716 1024002 1316574 1536003 2048004 2633148 3072006 4608009 6144012 9216018 18432036