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66040032 = 253687917
BaseRepresentation
bin1111101111101…
…1000011100000
311121021011220010
43323323003200
5113401240112
610315244520
71431221352
oct373730340
9147234803
1066040032
1134306943
121a149740
13108b3256
148ab10d2
155be763c
hex3efb0e0

66040032 has 24 divisors (see below), whose sum is σ = 173355336. Its totient is φ = 22013312.

The previous prime is 66039997. The next prime is 66040033. The reversal of 66040032 is 23004066.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×660400322 = 8722571653122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66039990 and 66040008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66040033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 343863 + ... + 344054.

It is an arithmetic number, because the mean of its divisors is an integer number (7223139).

Almost surely, 266040032 is an apocalyptic number.

It is an amenable number.

66040032 is an abundant number, since it is smaller than the sum of its proper divisors (107315304).

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

66040032 is a wasteful number, since it uses less digits than its factorization.

66040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687930 (or 687922 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 66040032 is about 8126.5018304311. The cubic root of 66040032 is about 404.2056920737.

Adding to 66040032 its reverse (23004066), we get a palindrome (89044098).

The spelling of 66040032 in words is "sixty-six million, forty thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 687917 1375834 2063751 2751668 4127502 5503336 8255004 11006672 16510008 22013344 33020016 66040032