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20813679 = 3731307
BaseRepresentation
bin100111101100…
…1011101101111
31110011110000000
41033121131233
520312014204
62022035343
7341625165
oct117313557
943143000
1020813679
1110826697
126b78b53
1344098b3
142a9b235
151c62039
hex13d976f

20813679 has 32 divisors (see below), whose sum is σ = 32327680. Its totient is φ = 13384440.

The previous prime is 20813669. The next prime is 20813693. The reversal of 20813679 is 97631802.

It is not a de Polignac number, because 20813679 - 212 = 20809583 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20813669) 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 31 ways as a sum of consecutive naturals, for example, 67644 + ... + 67950.

It is an arithmetic number, because the mean of its divisors is an integer number (1010240).

Almost surely, 220813679 is an apocalyptic number.

20813679 is a deficient number, since it is larger than the sum of its proper divisors (11514001).

20813679 is an frugal number, since it uses more digits than its factorization.

20813679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 20813679 is about 4562.2011134977. The cubic root of 20813679 is about 275.0740472777.

The spelling of 20813679 in words is "twenty million, eight hundred thirteen thousand, six hundred seventy-nine".

Divisors: 1 3 9 27 31 81 93 243 279 307 729 837 921 2187 2511 2763 7533 8289 9517 22599 24867 28551 67797 74601 85653 223803 256959 671409 770877 2312631 6937893 20813679