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20838393 = 326137957
BaseRepresentation
bin100111101111…
…1011111111001
31110012200220100
41033133133321
520313312033
62022350013
7342060222
oct117373771
943180810
1020838393
1110843214
126b8b309
134417c14
142aa6249
151c69513
hex13df7f9

20838393 has 12 divisors (see below), whose sum is σ = 30594148. Its totient is φ = 13664160.

The previous prime is 20838329. The next prime is 20838401. The reversal of 20838393 is 39383802.

It can be written as a sum of positive squares in 2 ways, for example, as 480249 + 20358144 = 693^2 + 4512^2 .

It is not a de Polignac number, because 20838393 - 26 = 20838329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20838793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18430 + ... + 19527.

Almost surely, 220838393 is an apocalyptic number.

It is an amenable number.

20838393 is a deficient number, since it is larger than the sum of its proper divisors (9755755).

20838393 is a wasteful number, since it uses less digits than its factorization.

20838393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38024 (or 38021 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 20838393 is about 4564.9088709415. The cubic root of 20838393 is about 275.1828778065.

The spelling of 20838393 in words is "twenty million, eight hundred thirty-eight thousand, three hundred ninety-three".

Divisors: 1 3 9 61 183 549 37957 113871 341613 2315377 6946131 20838393