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18386112 = 2631743131
BaseRepresentation
bin100011000100…
…0110011000000
31021121010000010
41012020303000
514201323422
61454024520
7312164553
oct106106300
937533003
1018386112
11a418838
1261a8140
133a69974
14262869a
151932b0c
hex1188cc0

18386112 has 112 divisors (see below), whose sum is σ = 53108352. Its totient is φ = 5591040.

The previous prime is 18386107. The next prime is 18386149. The reversal of 18386112 is 21168381.

It is a super-2 number, since 2×183861122 = 676098228953088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18386112.

It is a congruent number.

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, 140287 + ... + 140417.

Almost surely, 218386112 is an apocalyptic number.

18386112 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 18386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26554176).

18386112 is an abundant number, since it is smaller than the sum of its proper divisors (34722240).

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

18386112 is a wasteful number, since it uses less digits than its factorization.

18386112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 18386112 is about 4287.9029839771. The cubic root of 18386112 is about 263.9347864634.

The spelling of 18386112 in words is "eighteen million, three hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 129 131 136 172 192 204 258 262 272 344 393 408 516 524 544 688 731 786 816 1032 1048 1088 1376 1462 1572 1632 2064 2096 2193 2227 2752 2924 3144 3264 4128 4192 4386 4454 5633 5848 6288 6681 8256 8384 8772 8908 11266 11696 12576 13362 16899 17544 17816 22532 23392 25152 26724 33798 35088 35632 45064 46784 53448 67596 70176 71264 90128 95761 106896 135192 140352 142528 180256 191522 213792 270384 287283 360512 383044 427584 540768 574566 766088 1081536 1149132 1532176 2298264 3064352 4596528 6128704 9193056 18386112