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20586980 = 2251029349
BaseRepresentation
bin100111010001…
…0000111100100
31102201221000202
41032202013210
520232240410
62013130032
7336662231
oct116420744
942657022
1020586980
1110691337
126a89918
13435a65b
142a3c788
151c19ca5
hex13a21e4

20586980 has 12 divisors (see below), whose sum is σ = 43232700. Its totient is φ = 8234784.

The previous prime is 20586971. The next prime is 20586991. The reversal of 20586980 is 8968502.

It can be written as a sum of positive squares in 2 ways, for example, as 11682724 + 8904256 = 3418^2 + 2984^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 514655 + ... + 514694.

It is an arithmetic number, because the mean of its divisors is an integer number (3602725).

Almost surely, 220586980 is an apocalyptic number.

20586980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20586980 is an abundant number, since it is smaller than the sum of its proper divisors (22645720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20586980 is a wasteful number, since it uses less digits than its factorization.

20586980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029358 (or 1029356 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 20586980 is about 4537.2877360820. The cubic root of 20586980 is about 274.0717129855.

The spelling of 20586980 in words is "twenty million, five hundred eighty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 1029349 2058698 4117396 5146745 10293490 20586980