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20414385 = 3251313463
BaseRepresentation
bin100110111011…
…1111110110001
31102102011021100
41031313332301
520211230020
62005315013
7335343105
oct115677661
942364240
1020414385
11105836a2
126a05a69
1342c9c24
1429d5905
151bd3a90
hex1377fb1

20414385 has 24 divisors (see below), whose sum is σ = 35665344. Its totient is φ = 10801440.

The previous prime is 20414371. The next prime is 20414389. The reversal of 20414385 is 58341402.

20414385 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 20414385 - 25 = 20414353 is a prime.

It is a super-2 number, since 2×204143852 = 833494229856450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20414389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4164 + ... + 7626.

It is an arithmetic number, because the mean of its divisors is an integer number (1486056).

Almost surely, 220414385 is an apocalyptic number.

It is an amenable number.

20414385 is a deficient number, since it is larger than the sum of its proper divisors (15250959).

20414385 is a wasteful number, since it uses less digits than its factorization.

20414385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20414385 is about 4518.2280818923. The cubic root of 20414385 is about 273.3036511823.

Adding to 20414385 its reverse (58341402), we get a palindrome (78755787).

The spelling of 20414385 in words is "twenty million, four hundred fourteen thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 131 393 655 1179 1965 3463 5895 10389 17315 31167 51945 155835 453653 1360959 2268265 4082877 6804795 20414385