Base | Representation |
---|---|
bin | 1000100110001… |
… | …0110000000000 |
3 | 2111211211121210 |
4 | 2021202300000 |
5 | 33212243224 |
6 | 3324450120 |
7 | 615320502 |
oct | 211426000 |
9 | 74754553 |
10 | 36056064 |
11 | 19397500 |
12 | 100a9940 |
13 | 7615665 |
14 | 4b07d72 |
15 | 3273429 |
hex | 2262c00 |
36056064 has 132 divisors (see below), whose sum is σ = 106722392. Its totient is φ = 10813440.
The previous prime is 36056057. The next prime is 36056107. The reversal of 36056064 is 46065063.
It is a tau number, because it is divible by the number of its divisors (132).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371664 + ... + 371760.
Almost surely, 236056064 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 36056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53361196).
36056064 is an abundant number, since it is smaller than the sum of its proper divisors (70666328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36056064 is a wasteful number, since it uses less digits than its factorization.
36056064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 30.
The square root of 36056064 is about 6004.6701824497. The cubic root of 36056064 is about 330.3640426995.
It can be divided in two parts, 3605 and 6064, that added together give a palindrome (9669).
The spelling of 36056064 in words is "thirty-six million, fifty-six thousand, sixty-four", and thus it is an eban number.
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