Search a number
-
+
18966368 = 25532211
BaseRepresentation
bin100100001011…
…0011101100000
31022200120222002
41020112131200
514323410433
61514303132
7320132351
oct110263540
938616862
1018966368
11a784793
126427aa8
133c10b05
142739d28
1519e99e8
hex1216760

18966368 has 36 divisors (see below), whose sum is σ = 38238228. Its totient is φ = 9260160.

The previous prime is 18966361. The next prime is 18966371. The reversal of 18966368 is 86366981.

It is a super-2 number, since 2×189663682 = 719446230222848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18966361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89783 + ... + 89993.

It is an arithmetic number, because the mean of its divisors is an integer number (1062173).

Almost surely, 218966368 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 18966368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19119114).

18966368 is an abundant number, since it is smaller than the sum of its proper divisors (19271860).

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

18966368 is an equidigital number, since it uses as much as digits as its factorization.

18966368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 266 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The square root of 18966368 is about 4355.0393798449. The cubic root of 18966368 is about 266.6826268225.

The spelling of 18966368 in words is "eighteen million, nine hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 106 211 212 422 424 844 848 1688 1696 2809 3376 5618 6752 11183 11236 22366 22472 44732 44944 89464 89888 178928 357856 592699 1185398 2370796 4741592 9483184 18966368