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20580963 = 313737229
BaseRepresentation
bin100111010000…
…0101001100011
31102201121202220
41032200221203
520232042323
62013042123
7336635544
oct116405143
942647686
1020580963
1110687867
126a86343
1343579b0
142a3a4cb
151c180e3
hex13a0a63

20580963 has 16 divisors (see below), whose sum is σ = 29961120. Its totient is φ = 12489984.

The previous prime is 20580953. The next prime is 20580977. The reversal of 20580963 is 36908502.

It is a happy number.

It is not a de Polignac number, because 20580963 - 24 = 20580947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20580953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768 + ... + 6461.

It is an arithmetic number, because the mean of its divisors is an integer number (1872570).

Almost surely, 220580963 is an apocalyptic number.

20580963 is a deficient number, since it is larger than the sum of its proper divisors (9380157).

20580963 is a wasteful number, since it uses less digits than its factorization.

20580963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 20580963 is about 4536.6246263053. The cubic root of 20580963 is about 274.0450092115.

The spelling of 20580963 in words is "twenty million, five hundred eighty thousand, nine hundred sixty-three".

Divisors: 1 3 13 39 73 219 949 2847 7229 21687 93977 281931 527717 1583151 6860321 20580963