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18086976 = 26351163
BaseRepresentation
bin100010011111…
…1110001000000
31021000220200000
41010333301000
514112240401
61443400000
7306510465
oct104776100
937026600
1018086976
11a234016
126083000
13399376b
14258b66c
1518c4186
hex113fc40

18086976 has 84 divisors (see below), whose sum is σ = 53809392. Its totient is φ = 6023808.

The previous prime is 18086941. The next prime is 18086983. The reversal of 18086976 is 67968081.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14971 + ... + 16133.

It is an arithmetic number, because the mean of its divisors is an integer number (640588).

Almost surely, 218086976 is an apocalyptic number.

18086976 is a gapful number since it is divisible by the number (16) 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 18086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26904696).

18086976 is an abundant number, since it is smaller than the sum of its proper divisors (35722416).

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

18086976 is an equidigital number, since it uses as much as digits as its factorization.

18086976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 18086976 is about 4252.8785545792. The cubic root of 18086976 is about 262.4955754356.

The spelling of 18086976 in words is "eighteen million, eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1163 1296 1728 1944 2326 2592 3489 3888 4652 5184 6978 7776 9304 10467 13956 15552 18608 20934 27912 31401 37216 41868 55824 62802 74432 83736 94203 111648 125604 167472 188406 223296 251208 282609 334944 376812 502416 565218 669888 753624 1004832 1130436 1507248 2009664 2260872 3014496 4521744 6028992 9043488 18086976