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19985238 = 233731383
BaseRepresentation
bin100110000111…
…1001101010110
31101121100121000
41030033031112
520104011423
61552204130
7331605000
oct114171526
941540530
1019985238
1110310229
126839646
1341a97b0
142923370
151b4b843
hex130f356

19985238 has 128 divisors (see below), whose sum is σ = 56448000. Its totient is φ = 5207328.

The previous prime is 19985227. The next prime is 19985243. The reversal of 19985238 is 83258991.

It is a happy number.

Its product of digits (155520) is a multiple of the sum of its prime divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 19985193 and 19985202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240745 + ... + 240827.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 219985238 is an apocalyptic number.

19985238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19985238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224000).

19985238 is an abundant number, since it is smaller than the sum of its proper divisors (36462762).

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

19985238 is a wasteful number, since it uses less digits than its factorization.

19985238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 19985238 is about 4470.4852085652. The cubic root of 19985238 is about 271.3749615003.

The spelling of 19985238 in words is "nineteen million, nine hundred eighty-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 83 91 98 117 126 147 166 182 189 234 249 273 294 343 351 378 441 498 546 581 637 686 702 747 819 882 1029 1079 1162 1274 1323 1494 1638 1743 1911 2058 2158 2241 2457 2646 3087 3237 3486 3822 4067 4459 4482 4914 5229 5733 6174 6474 7553 8134 8918 9261 9711 10458 11466 12201 13377 15106 15687 17199 18522 19422 22659 24402 26754 28469 29133 31374 34398 36603 40131 45318 52871 56938 58266 67977 73206 80262 85407 105742 109809 120393 135954 158613 170814 203931 219618 240786 256221 317226 370097 407862 475839 512442 740194 768663 951678 1110291 1427517 1537326 2220582 2855034 3330873 6661746 9992619 19985238