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66330640 = 2453722409
BaseRepresentation
bin1111110100001…
…0000000010000
311121210221112101
43331002000100
5113440040030
610325410144
71433541535
oct375020020
9147727471
1066330640
1134495212
121a269954
13109855cc
148b48d8c
155c537ca
hex3f42010

66330640 has 40 divisors (see below), whose sum is σ = 158393880. Its totient is φ = 25814016.

The previous prime is 66330629. The next prime is 66330679. The reversal of 66330640 is 4603366.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 46403344 = 4464^2 + 6812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 66330599 and 66330608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8245 + ... + 14164.

It is an arithmetic number, because the mean of its divisors is an integer number (3959847).

Almost surely, 266330640 is an apocalyptic number.

It is an amenable number.

66330640 is an abundant number, since it is smaller than the sum of its proper divisors (92063240).

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

66330640 is a wasteful number, since it uses less digits than its factorization.

66330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22459 (or 22453 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 66330640 is about 8144.3624673758. The cubic root of 66330640 is about 404.7977245259.

The spelling of 66330640 in words is "sixty-six million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 22409 44818 89636 112045 179272 224090 358544 448180 829133 896360 1658266 1792720 3316532 4145665 6633064 8291330 13266128 16582660 33165320 66330640