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20433114 = 2331322239
BaseRepresentation
bin100110111110…
…0100011011010
31102110002222000
41031330203122
520212324424
62005541430
7335451522
oct115744332
942402860
1020433114
1110596779
126a14876
134305600
1429dc682
151bd93c9
hex137c8da

20433114 has 48 divisors (see below), whose sum is σ = 49190400. Its totient is φ = 6284304.

The previous prime is 20433097. The next prime is 20433137. The reversal of 20433114 is 41133402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8007 + ... + 10245.

It is an arithmetic number, because the mean of its divisors is an integer number (1024800).

Almost surely, 220433114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20433114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24595200).

20433114 is an abundant number, since it is smaller than the sum of its proper divisors (28757286).

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

20433114 is a wasteful number, since it uses less digits than its factorization.

20433114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20433114 is about 4520.3002112692. The cubic root of 20433114 is about 273.3872056548.

Adding to 20433114 its product of nonzero digits (288), we get a palindrome (20433402).

Adding to 20433114 its reverse (41133402), we get a palindrome (61566516).

The spelling of 20433114 in words is "twenty million, four hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 2239 3042 4478 4563 6717 9126 13434 20151 29107 40302 58214 60453 87321 120906 174642 261963 378391 523926 756782 785889 1135173 1571778 2270346 3405519 6811038 10216557 20433114