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66056020 = 22553101617
BaseRepresentation
bin1111101111111…
…0111101010100
311121021222211021
43323332331110
5113402243040
610315450524
71431316102
oct373767524
9147258737
1066056020
1134317958
121a156a44
13108ba604
148ab6c72
155bec24a
hex3efef54

66056020 has 48 divisors (see below), whose sum is σ = 142965648. Its totient is φ = 25625600.

The previous prime is 66056017. The next prime is 66056051. The reversal of 66056020 is 2065066.

It can be written as a sum of positive squares in 8 ways, for example, as 56644 + 65999376 = 238^2 + 8124^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106752 + ... + 107368.

It is an arithmetic number, because the mean of its divisors is an integer number (2978451).

Almost surely, 266056020 is an apocalyptic number.

It is an amenable number.

66056020 is an abundant number, since it is smaller than the sum of its proper divisors (76909628).

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

66056020 is a wasteful number, since it uses less digits than its factorization.

66056020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 66056020 is about 8127.4854659975. The cubic root of 66056020 is about 404.2383082459.

The spelling of 66056020 in words is "sixty-six million, fifty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 53 101 106 202 212 265 404 505 530 617 1010 1060 1234 2020 2468 3085 5353 6170 10706 12340 21412 26765 32701 53530 62317 65402 107060 124634 130804 163505 249268 311585 327010 623170 654020 1246340 3302801 6605602 13211204 16514005 33028010 66056020