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18981168 = 243735417
BaseRepresentation
bin100100001101…
…0000100110000
31022201100021020
41020122010300
514324344133
61514455440
7320223453
oct110320460
938640236
1018981168
11a794918
126434580
133c1777b
14274149a
1519ee0b3
hex121a130

18981168 has 40 divisors (see below), whose sum is σ = 49715568. Its totient is φ = 6239232.

The previous prime is 18981161. The next prime is 18981169. The reversal of 18981168 is 86118981.

It is not an unprimeable number, because it can be changed into a prime (18981161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796 + ... + 6212.

Almost surely, 218981168 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 18981168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24857784).

18981168 is an abundant number, since it is smaller than the sum of its proper divisors (30734400).

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

18981168 is a wasteful number, since it uses less digits than its factorization.

18981168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5495 counting only the distinct ones).

The product of its digits is 27648, while the sum is 42.

The square root of 18981168 is about 4356.7382294556. The cubic root of 18981168 is about 266.7519754839.

The spelling of 18981168 in words is "eighteen million, nine hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 5417 10834 16251 21668 32502 43336 65004 86672 130008 260016 395441 790882 1186323 1581764 2372646 3163528 4745292 6327056 9490584 18981168