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66527620 = 22511329437
BaseRepresentation
bin1111110111001…
…0000110000100
311122011221201221
43331302012010
5114012340440
610333530124
71435322035
oct375620604
9148157657
1066527620
113460a205
121a343944
1310a24173
148b9aa8c
155c91d4a
hex3f72184

66527620 has 24 divisors (see below), whose sum is σ = 140949144. Its totient is φ = 26374656.

The previous prime is 66527603. The next prime is 66527621. The reversal of 66527620 is 2672566.

It is a happy number.

66527620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6061444 + 60466176 = 2462^2 + 7776^2 .

It is a super-3 number, since 3×665276203 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66527621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12459 + ... + 16978.

It is an arithmetic number, because the mean of its divisors is an integer number (5872881).

Almost surely, 266527620 is an apocalyptic number.

It is an amenable number.

66527620 is an abundant number, since it is smaller than the sum of its proper divisors (74421524).

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

66527620 is a wasteful number, since it uses less digits than its factorization.

66527620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29559 (or 29557 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 66527620 is about 8156.4465301993. The cubic root of 66527620 is about 405.1980335177.

The spelling of 66527620 in words is "sixty-six million, five hundred twenty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 29437 58874 117748 147185 294370 588740 3326381 6652762 13305524 16631905 33263810 66527620