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66498720 = 25353141109
BaseRepresentation
bin1111110110101…
…1000010100000
311122010111002120
43331223002200
5114010424340
610333144240
71435141551
oct375530240
9148114076
1066498720
113459a522
121a32b080
1310a13c72
148b90328
155c884d0
hex3f6b0a0

66498720 has 192 divisors, whose sum is σ = 223534080. Its totient is φ = 16588800.

The previous prime is 66498709. The next prime is 66498743. The reversal of 66498720 is 2789466.

66498720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 610026 + ... + 610134.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 266498720 is an apocalyptic number.

66498720 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 66498720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

66498720 is an abundant number, since it is smaller than the sum of its proper divisors (157035360).

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

66498720 is a wasteful number, since it uses less digits than its factorization.

66498720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 66498720 is about 8154.6747329369. The cubic root of 66498720 is about 405.1393515285.

The spelling of 66498720 in words is "sixty-six million, four hundred ninety-eight thousand, seven hundred twenty".