Search a number
-
+
18038196 = 223211241101
BaseRepresentation
bin100010011001…
…1110110110100
31020221102202100
41010303312310
514104210241
61442342100
7306215331
oct104636664
936842670
1018038196
11a200400
12605a930
1339774b7
142577988
1518b49b6
hex1133db4

18038196 has 108 divisors (see below), whose sum is σ = 51849252. Its totient is φ = 5280000.

The previous prime is 18038159. The next prime is 18038197. The reversal of 18038196 is 69183081.

It can be written as a sum of positive squares in 2 ways, for example, as 9217296 + 8820900 = 3036^2 + 2970^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 18038196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18038197) 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 35 ways as a sum of consecutive naturals, for example, 178546 + ... + 178646.

Almost surely, 218038196 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 18038196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25924626).

18038196 is an abundant number, since it is smaller than the sum of its proper divisors (33811056).

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

18038196 is a wasteful number, since it uses less digits than its factorization.

18038196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18038196 is about 4247.1397434038. The cubic root of 18038196 is about 262.2593822288.

It can be divided in two parts, 1803 and 8196, that added together give a palindrome (9999).

The spelling of 18038196 in words is "eighteen million, thirty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 101 121 123 132 164 198 202 242 246 303 363 369 396 404 451 484 492 606 726 738 902 909 1089 1111 1212 1353 1452 1476 1804 1818 2178 2222 2706 3333 3636 4059 4141 4356 4444 4961 5412 6666 8118 8282 9922 9999 12221 12423 13332 14883 16236 16564 19844 19998 24442 24846 29766 36663 37269 39996 44649 45551 48884 49692 59532 73326 74538 89298 91102 109989 136653 146652 149076 178596 182204 219978 273306 409959 439956 501061 546612 819918 1002122 1503183 1639836 2004244 3006366 4509549 6012732 9019098 18038196