Base | Representation |
---|---|
bin | 100111111011… |
… | …001100010000 |
3 | 201200201202000 |
4 | 213323030100 |
5 | 10134403224 |
6 | 1012154000 |
7 | 154650210 |
oct | 47731420 |
9 | 21621660 |
10 | 10466064 |
11 | 59a9344 |
12 | 3608900 |
13 | 2225a4b |
14 | 1566240 |
15 | dbb0c9 |
hex | 9fb310 |
10466064 has 80 divisors (see below), whose sum is σ = 34343040. Its totient is φ = 2989440.
The previous prime is 10466047. The next prime is 10466077. The reversal of 10466064 is 46066401.
10466064 is a `hidden beast` number, since 10 + 46 + 606 + 4 = 666.
10466064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294 + ... + 4754.
It is an arithmetic number, because the mean of its divisors is an integer number (429288).
Almost surely, 210466064 is an apocalyptic number.
10466064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10466064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171520).
10466064 is an abundant number, since it is smaller than the sum of its proper divisors (23876976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10466064 is a wasteful number, since it uses less digits than its factorization.
10466064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3485 (or 3473 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 10466064 is about 3235.1296728261. The cubic root of 10466064 is about 218.7397922856.
The spelling of 10466064 in words is "ten million, four hundred sixty-six thousand, sixty-four".
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