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20184240 = 2435372273
BaseRepresentation
bin100110011111…
…1110010110000
31101222110120110
41030333302300
520131343430
62000341320
7333364116
oct114776260
941873513
1020184240
111043679a
126914840
13424924b
142975ab6
151b8a7b0
hex133fcb0

20184240 has 80 divisors (see below), whose sum is σ = 64290528. Its totient is φ = 5234688.

The previous prime is 20184239. The next prime is 20184247. The reversal of 20184240 is 4248102.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20184247) 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, 7744 + ... + 10016.

Almost surely, 220184240 is an apocalyptic number.

20184240 is a gapful number since it is divisible by the number (20) 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 20184240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32145264).

20184240 is an abundant number, since it is smaller than the sum of its proper divisors (44106288).

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

20184240 is a wasteful number, since it uses less digits than its factorization.

20184240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 20184240 is about 4492.6873917512. The cubic root of 20184240 is about 272.2727224249.

The spelling of 20184240 in words is "twenty million, one hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2273 2960 4440 4546 6819 8880 9092 11365 13638 18184 22730 27276 34095 36368 45460 54552 68190 84101 90920 109104 136380 168202 181840 252303 272760 336404 420505 504606 545520 672808 841010 1009212 1261515 1345616 1682020 2018424 2523030 3364040 4036848 5046060 6728080 10092120 20184240