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66345540 = 22351105759
BaseRepresentation
bin1111110100010…
…1101001000100
311121211200222020
43331011221010
5113441024130
610330003140
71433633142
oct375055104
9147750866
1066345540
11344a5428
121a2764b0
131098c321
148b50592
155c57e10
hex3f45a44

66345540 has 24 divisors (see below), whose sum is σ = 185767680. Its totient is φ = 17692128.

The previous prime is 66345481. The next prime is 66345541. The reversal of 66345540 is 4554366.

66345540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66345541) 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, 552820 + ... + 552939.

It is an arithmetic number, because the mean of its divisors is an integer number (7740320).

Almost surely, 266345540 is an apocalyptic number.

66345540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66345540 is an abundant number, since it is smaller than the sum of its proper divisors (119422140).

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

66345540 is a wasteful number, since it uses less digits than its factorization.

66345540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105771 (or 1105769 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 66345540 is about 8145.2771591886. The cubic root of 66345540 is about 404.8280324627.

The spelling of 66345540 in words is "sixty-six million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1105759 2211518 3317277 4423036 5528795 6634554 11057590 13269108 16586385 22115180 33172770 66345540