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20584020 = 2235349983
BaseRepresentation
bin100111010000…
…1011001010100
31102201202222010
41032201121110
520232142040
62013104220
7336650502
oct116413124
942652863
1020584020
111068a096
126a88070
1343591c2
142a3b672
151c18e80
hex13a1654

20584020 has 48 divisors (see below), whose sum is σ = 57859200. Its totient is φ = 5467776.

The previous prime is 20584013. The next prime is 20584021. The reversal of 20584020 is 2048502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20584021) 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, 20449 + ... + 21431.

It is an arithmetic number, because the mean of its divisors is an integer number (1205400).

Almost surely, 220584020 is an apocalyptic number.

20584020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20584020 is an abundant number, since it is smaller than the sum of its proper divisors (37275180).

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

20584020 is a wasteful number, since it uses less digits than its factorization.

20584020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 20584020 is about 4536.9615382985. The cubic root of 20584020 is about 274.0585769944.

The spelling of 20584020 in words is "twenty million, five hundred eighty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 349 698 983 1047 1396 1745 1966 2094 2949 3490 3932 4188 4915 5235 5898 6980 9830 10470 11796 14745 19660 20940 29490 58980 343067 686134 1029201 1372268 1715335 2058402 3430670 4116804 5146005 6861340 10292010 20584020