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19986912 = 253411701
BaseRepresentation
bin100110000111…
…1100111100000
31101121102220000
41030033213200
520104040122
61552220000
7331612611
oct114174740
941542800
1019986912
1110311510
12683a600
1341aa49a
142923c08
151b4c0ac
hex130f9e0

19986912 has 120 divisors (see below), whose sum is σ = 64216152. Its totient is φ = 6048000.

The previous prime is 19986893. The next prime is 19986929. The reversal of 19986912 is 21968991.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28162 + ... + 28862.

Almost surely, 219986912 is an apocalyptic number.

19986912 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 19986912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32108076).

19986912 is an abundant number, since it is smaller than the sum of its proper divisors (44229240).

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

19986912 is a wasteful number, since it uses less digits than its factorization.

19986912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 717 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 19986912 is about 4470.6724326437. The cubic root of 19986912 is about 271.3825382427.

The spelling of 19986912 in words is "nineteen million, nine hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 701 792 864 891 1056 1188 1296 1402 1584 1782 2103 2376 2592 2804 3168 3564 4206 4752 5608 6309 7128 7711 8412 9504 11216 12618 14256 15422 16824 18927 22432 23133 25236 28512 30844 33648 37854 46266 50472 56781 61688 67296 69399 75708 92532 100944 113562 123376 138798 151416 185064 201888 208197 227124 246752 277596 302832 370128 416394 454248 555192 605664 624591 740256 832788 908496 1110384 1249182 1665576 1816992 2220768 2498364 3331152 4996728 6662304 9993456 19986912