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66567140 = 22510613137
BaseRepresentation
bin1111110111101…
…1101111100100
311122020221221122
43331323233210
5114020122030
610334433112
71435545203
oct375735744
9148227848
1066567140
1134636972
121a362798
1310a39153
148bab23a
155c9d8e5
hex3f7bbe4

66567140 has 24 divisors (see below), whose sum is σ = 139967352. Its totient is φ = 26593280.

The previous prime is 66567133. The next prime is 66567157. The reversal of 66567140 is 4176566.

It can be written as a sum of positive squares in 4 ways, for example, as 32741284 + 33825856 = 5722^2 + 5816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66567140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19652 + ... + 22788.

It is an arithmetic number, because the mean of its divisors is an integer number (5831973).

Almost surely, 266567140 is an apocalyptic number.

It is an amenable number.

66567140 is an abundant number, since it is smaller than the sum of its proper divisors (73400212).

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

66567140 is a wasteful number, since it uses less digits than its factorization.

66567140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 66567140 is about 8158.8687941405. The cubic root of 66567140 is about 405.2782521120.

The spelling of 66567140 in words is "sixty-six million, five hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1061 2122 3137 4244 5305 6274 10610 12548 15685 21220 31370 62740 3328357 6656714 13313428 16641785 33283570 66567140