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20580993 = 333167367
BaseRepresentation
bin100111010000…
…0101010000001
31102201121211000
41032200222001
520232042433
62013042213
7336635616
oct116405201
942647730
1020580993
1110687894
126a86369
134357a04
142a3a50d
151c18113
hex13a0a81

20580993 has 32 divisors (see below), whose sum is σ = 32030720. Its totient is φ = 13044240.

The previous prime is 20580979. The next prime is 20580997. The reversal of 20580993 is 39908502.

It is not a de Polignac number, because 20580993 - 24 = 20580977 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20580997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55896 + ... + 56262.

It is an arithmetic number, because the mean of its divisors is an integer number (1000960).

Almost surely, 220580993 is an apocalyptic number.

It is an amenable number.

20580993 is a deficient number, since it is larger than the sum of its proper divisors (11449727).

20580993 is a wasteful number, since it uses less digits than its factorization.

20580993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 20580993 is about 4536.6279327271. The cubic root of 20580993 is about 274.0451423660.

The spelling of 20580993 in words is "twenty million, five hundred eighty thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 31 67 93 201 279 367 603 837 1101 1809 2077 3303 6231 9909 11377 18693 24589 34131 56079 73767 102393 221301 307179 663903 762259 2286777 6860331 20580993