Base | Representation |
---|---|
bin | 10011101011010… |
… | …10110110000000 |
3 | 102111121010022212 |
4 | 21311222312000 |
5 | 314224022224 |
6 | 24213521252 |
7 | 4043010224 |
oct | 1165526600 |
9 | 374533285 |
10 | 165064064 |
11 | 851a1090 |
12 | 47343228 |
13 | 28274759 |
14 | 17cca784 |
15 | e757d0e |
hex | 9d6ad80 |
165064064 has 64 divisors (see below), whose sum is σ = 364996800. Its totient is φ = 73720320.
The previous prime is 165064037. The next prime is 165064091. The reversal of 165064064 is 460460561.
It is an interprime number because it is at equal distance from previous prime (165064037) and next prime (165064091).
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1650640642 = 54492290448392192, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 165064064.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 82079 + ... + 84065.
It is an arithmetic number, because the mean of its divisors is an integer number (5703075).
Almost surely, 2165064064 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 165064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182498400).
165064064 is an abundant number, since it is smaller than the sum of its proper divisors (199932736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
165064064 is a wasteful number, since it uses less digits than its factorization.
165064064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2071 (or 2059 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 32.
The square root of 165064064 is about 12847.7260244761. The cubic root of 165064064 is about 548.5516316434.
The spelling of 165064064 in words is "one hundred sixty-five million, sixty-four thousand, sixty-four".
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