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66685080 = 233572111031
BaseRepresentation
bin1111111001100…
…0100010011000
311122110221201210
43332120202120
5114032410310
610341143120
71436546100
oct376304230
9148427653
1066685080
1134707540
121a3baaa0
1310a7aa37
148bdc200
155cc3820
hex3f98898

66685080 has 192 divisors, whose sum is σ = 254119680. Its totient is φ = 13843200.

The previous prime is 66685051. The next prime is 66685081. The reversal of 66685080 is 8058666.

66685080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66685081) 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 47 ways as a sum of consecutive naturals, for example, 64165 + ... + 65195.

It is an arithmetic number, because the mean of its divisors is an integer number (1323540).

Almost surely, 266685080 is an apocalyptic number.

66685080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66685080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127059840).

66685080 is an abundant number, since it is smaller than the sum of its proper divisors (187434600).

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

66685080 is a wasteful number, since it uses less digits than its factorization.

66685080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 66685080 is about 8166.0933132068. The cubic root of 66685080 is about 405.5174608060.

The spelling of 66685080 in words is "sixty-six million, six hundred eighty-five thousand, eighty".