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66164240 = 2453172609
BaseRepresentation
bin1111110001100…
…1011000010000
311121111111021102
43330121120100
5113414223430
610322043532
71432246442
oct374313020
9147444242
1066164240
113439119a
121a1a95a8
131092794c
148b04492
155c1e345
hex3f19610

66164240 has 40 divisors (see below), whose sum is σ = 154376280. Its totient is φ = 26372096.

The previous prime is 66164239. The next prime is 66164243. The reversal of 66164240 is 4246166.

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 66064384 = 316^2 + 8128^2 .

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

It is not an unprimeable number, because it can be changed into a prime (66164243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24056 + ... + 26664.

It is an arithmetic number, because the mean of its divisors is an integer number (3859407).

Almost surely, 266164240 is an apocalyptic number.

It is an amenable number.

66164240 is an abundant number, since it is smaller than the sum of its proper divisors (88212040).

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

66164240 is a wasteful number, since it uses less digits than its factorization.

66164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 66164240 is about 8134.1403971163. The cubic root of 66164240 is about 404.4589432024.

The spelling of 66164240 in words is "sixty-six million, one hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 317 634 1268 1585 2536 2609 3170 5072 5218 6340 10436 12680 13045 20872 25360 26090 41744 52180 104360 208720 827053 1654106 3308212 4135265 6616424 8270530 13232848 16541060 33082120 66164240