Base | Representation |
---|---|
bin | 1011000110110… |
… | …10000111000000 |
3 | 20111022102120001 |
4 | 11203122013000 |
5 | 142322334224 |
6 | 13124525344 |
7 | 2210626003 |
oct | 543320700 |
9 | 214272501 |
10 | 93168064 |
11 | 48655600 |
12 | 27250854 |
13 | 163c0c42 |
14 | c53353a |
15 | 82a5544 |
hex | 58da1c0 |
93168064 has 84 divisors (see below), whose sum is σ = 207961992. Its totient is φ = 41367040.
The previous prime is 93168059. The next prime is 93168067. The reversal of 93168064 is 46086139.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (93168067) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410319 + ... + 410545.
It is an arithmetic number, because the mean of its divisors is an integer number (2475738).
Almost surely, 293168064 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 93168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103980996).
93168064 is an abundant number, since it is smaller than the sum of its proper divisors (114793928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
93168064 is a wasteful number, since it uses less digits than its factorization.
93168064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 314 (or 293 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 37.
The square root of 93168064 is about 9652.3605403031. The cubic root of 93168064 is about 453.3382429303.
It can be divided in two parts, 9 and 3168064, that multiplied together give a triangular number (28512576 = T7551).
The spelling of 93168064 in words is "ninety-three million, one hundred sixty-eight thousand, sixty-four".
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