Search a number
-
+
18806112 = 2532135023
BaseRepresentation
bin100011110111…
…1010101100000
31022101110010200
41013233111200
514303243422
61511025200
7315564213
oct107572540
938343120
1018806112
11a685346
12636b200
133b85ba0
1426d777a
1519b72ac
hex11ef560

18806112 has 72 divisors (see below), whose sum is σ = 57605184. Its totient is φ = 5785344.

The previous prime is 18806107. The next prime is 18806141. The reversal of 18806112 is 21160881.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 1233 + ... + 6255.

It is an arithmetic number, because the mean of its divisors is an integer number (800072).

Almost surely, 218806112 is an apocalyptic number.

18806112 is a gapful number since it is divisible by the number (12) 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 18806112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28802592).

18806112 is an abundant number, since it is smaller than the sum of its proper divisors (38799072).

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

18806112 is a wasteful number, since it uses less digits than its factorization.

18806112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5041 counting only the distinct ones).

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

The square root of 18806112 is about 4336.6014343031. The cubic root of 18806112 is about 265.9293912500.

Adding to 18806112 its reverse (21160881), we get a palindrome (39966993).

The spelling of 18806112 in words is "eighteen million, eight hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 5023 10046 15069 20092 30138 40184 45207 60276 65299 80368 90414 120552 130598 160736 180828 195897 241104 261196 361656 391794 482208 522392 587691 723312 783588 1044784 1175382 1446624 1567176 2089568 2350764 3134352 4701528 6268704 9403056 18806112