Search a number
-
+
112009986 = 23311269701
BaseRepresentation
bin1101010110100…
…10001100000010
321210202200211000
412223102030002
5212133304421
615040432430
72530032504
oct653221402
9253680730
10112009986
1158254840
1231618716
131a28a1ca
1410c39d74
159c78226
hex6ad2302

112009986 has 64 divisors (see below), whose sum is σ = 272937600. Its totient is φ = 33768000.

The previous prime is 112009981. The next prime is 112009987. The reversal of 112009986 is 689900211.

It is a self number, because there is not a number n which added to its sum of digits gives 112009986.

It is not an unprimeable number, because it can be changed into a prime (112009981) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159436 + ... + 160136.

It is an arithmetic number, because the mean of its divisors is an integer number (4264650).

Almost surely, 2112009986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112009986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136468800).

112009986 is an abundant number, since it is smaller than the sum of its proper divisors (160927614).

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

112009986 is a wasteful number, since it uses less digits than its factorization.

112009986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 112009986 is about 10583.4770278959. The cubic root of 112009986 is about 482.0427784097.

The spelling of 112009986 in words is "one hundred twelve million, nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 269 297 538 594 701 807 1402 1614 2103 2421 2959 4206 4842 5918 6309 7263 7711 8877 12618 14526 15422 17754 18927 23133 26631 37854 46266 53262 69399 79893 138798 159786 188569 208197 377138 416394 565707 1131414 1697121 2074259 3394242 4148518 5091363 6222777 10182726 12445554 18668331 37336662 56004993 112009986