Search a number
-
+
18117216 = 2533131613
BaseRepresentation
bin100010100011…
…1001001100000
31021002110011000
41011013021200
514114222331
61444152000
7306664605
oct105071140
937073130
1018117216
11a254807
126098600
1339a4460
1425986ac
1518cd0e6
hex1147260

18117216 has 96 divisors (see below), whose sum is σ = 56941920. Its totient is φ = 5571072.

The previous prime is 18117191. The next prime is 18117227. The reversal of 18117216 is 61271181.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18117216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10426 + ... + 12038.

It is an arithmetic number, because the mean of its divisors is an integer number (593145).

Almost surely, 218117216 is an apocalyptic number.

18117216 is a gapful number since it is divisible by the number (16) 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 18117216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28470960).

18117216 is an abundant number, since it is smaller than the sum of its proper divisors (38824704).

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

18117216 is a wasteful number, since it uses less digits than its factorization.

18117216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1631 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 18117216 is about 4256.4323088709. The cubic root of 18117216 is about 262.6417846283.

Adding to 18117216 its reverse (61271181), we get a palindrome (79388397).

The spelling of 18117216 in words is "eighteen million, one hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1613 1872 2808 3226 3744 4839 5616 6452 9678 11232 12904 14517 19356 20969 25808 29034 38712 41938 43551 51616 58068 62907 77424 83876 87102 116136 125814 154848 167752 174204 188721 232272 251628 335504 348408 377442 464544 503256 566163 671008 696816 754884 1006512 1132326 1393632 1509768 2013024 2264652 3019536 4529304 6039072 9058608 18117216