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12181806 = 2337133767
BaseRepresentation
bin101110011110…
…000100101110
3211220220022000
4232132010232
511104304211
61113033130
7205354320
oct56360456
924826260
1012181806
11697040a
1240b57a6
1326a6990
141891610
151109656
hexb9e12e

12181806 has 128 divisors (see below), whose sum is σ = 34728960. Its totient is φ = 3079296.

The previous prime is 12181781. The next prime is 12181817. The reversal of 12181806 is 60818121.

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 12181806.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 181785 + ... + 181851.

It is an arithmetic number, because the mean of its divisors is an integer number (271320).

Almost surely, 212181806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12181806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364480).

12181806 is an abundant number, since it is smaller than the sum of its proper divisors (22547154).

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

12181806 is a wasteful number, since it uses less digits than its factorization.

12181806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12181806 is about 3490.2444040497. The cubic root of 12181806 is about 230.0932577080.

Adding to 12181806 its reverse (60818121), we get a palindrome (72999927).

The spelling of 12181806 in words is "twelve million, one hundred eighty-one thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 37 39 42 54 63 67 74 78 91 111 117 126 134 182 189 201 222 234 259 273 333 351 378 402 469 481 518 546 603 666 702 777 819 871 938 962 999 1206 1407 1443 1554 1638 1742 1809 1998 2331 2457 2479 2613 2814 2886 3367 3618 4221 4329 4662 4914 4958 5226 6097 6734 6993 7437 7839 8442 8658 10101 12194 12663 12987 13986 14874 15678 17353 18291 20202 22311 23517 25326 25974 30303 32227 34706 36582 44622 47034 52059 54873 60606 64454 66933 90909 96681 104118 109746 133866 156177 164619 181818 193362 225589 290043 312354 329238 451178 468531 580086 676767 870129 937062 1353534 1740258 2030301 4060602 6090903 12181806