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18059712 = 2631117503
BaseRepresentation
bin100010011100…
…1000111000000
31020222112021020
41010321013000
514110402322
61443025440
7306335136
oct104710700
936875236
1018059712
11a215590
12606b280
133984228
142581756
1518bb05c
hex11391c0

18059712 has 112 divisors (see below), whose sum is σ = 55302912. Its totient is φ = 5140480.

The previous prime is 18059707. The next prime is 18059719. The reversal of 18059712 is 21795081.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18059719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35653 + ... + 36155.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 218059712 is an apocalyptic number.

18059712 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 18059712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651456).

18059712 is an abundant number, since it is smaller than the sum of its proper divisors (37243200).

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

18059712 is a wasteful number, since it uses less digits than its factorization.

18059712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 18059712 is about 4249.6719873421. The cubic root of 18059712 is about 262.3636153200.

The spelling of 18059712 in words is "eighteen million, fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 503 528 544 561 704 748 816 1006 1056 1088 1122 1496 1509 1632 2012 2112 2244 2992 3018 3264 4024 4488 5533 5984 6036 8048 8551 8976 11066 11968 12072 16096 16599 17102 17952 22132 24144 25653 32192 33198 34204 35904 44264 48288 51306 66396 68408 88528 94061 96576 102612 132792 136816 177056 188122 205224 265584 273632 282183 354112 376244 410448 531168 547264 564366 752488 820896 1062336 1128732 1504976 1641792 2257464 3009952 4514928 6019904 9029856 18059712