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66040020 = 22325366889
BaseRepresentation
bin1111101111101…
…1000011010100
311121021011212200
43323323003110
5113401240040
610315244500
71431221334
oct373730324
9147234780
1066040020
1134306932
121a149730
13108b3247
148ab10c4
155be7630
hex3efb0d4

66040020 has 36 divisors (see below), whose sum is σ = 200321940. Its totient is φ = 17610624.

The previous prime is 66039997. The next prime is 66040033. The reversal of 66040020 is 2004066.

66040020 is a `hidden beast` number, since 660 + 4 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44916804 + 21123216 = 6702^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×660400202 = 8722568483200800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 66039975 and 66040002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183265 + ... + 183624.

Almost surely, 266040020 is an apocalyptic number.

66040020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66040020 is an abundant number, since it is smaller than the sum of its proper divisors (134281920).

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

66040020 is a wasteful number, since it uses less digits than its factorization.

66040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366904 (or 366899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66040020 is about 8126.5010921060. The cubic root of 66040020 is about 404.2056675913.

Adding to 66040020 its reverse (2004066), we get a palindrome (68044086).

The spelling of 66040020 in words is "sixty-six million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 366889 733778 1100667 1467556 1834445 2201334 3302001 3668890 4402668 5503335 6604002 7337780 11006670 13208004 16510005 22013340 33020010 66040020