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18105136 = 2471737257
BaseRepresentation
bin100010100010…
…0001100110000
31021001211120121
41011010030300
514113331021
61444020024
7306614440
oct105041460
937054517
1018105136
11a246725
126091614
13399baca
142594120
1518c9741
hex1144330

18105136 has 80 divisors (see below), whose sum is σ = 43765056. Its totient is φ = 7077888.

The previous prime is 18105121. The next prime is 18105151. The reversal of 18105136 is 63150181.

It is an interprime number because it is at equal distance from previous prime (18105121) and next prime (18105151).

It is a self number, because there is not a number n which added to its sum of digits gives 18105136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70320 + ... + 70576.

Almost surely, 218105136 is an apocalyptic number.

18105136 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 18105136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21882528).

18105136 is an abundant number, since it is smaller than the sum of its proper divisors (25659920).

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

18105136 is a wasteful number, since it uses less digits than its factorization.

18105136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 18105136 is about 4255.0130434583. The cubic root of 18105136 is about 262.5833978398.

The spelling of 18105136 in words is "eighteen million, one hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 37 56 68 74 112 119 136 148 238 257 259 272 296 476 514 518 592 629 952 1028 1036 1258 1799 1904 2056 2072 2516 3598 4112 4144 4369 4403 5032 7196 8738 8806 9509 10064 14392 17476 17612 19018 28784 30583 34952 35224 38036 61166 66563 69904 70448 76072 122332 133126 152144 161653 244664 266252 323306 489328 532504 646612 1065008 1131571 1293224 2263142 2586448 4526284 9052568 18105136