Base | Representation |
---|---|
bin | 1100011111110… |
… | …10001111100000 |
3 | 21022021010020100 |
4 | 12033322033200 |
5 | 203314142031 |
6 | 14222542400 |
7 | 2412034350 |
oct | 617721740 |
9 | 238233210 |
10 | 104834016 |
11 | 541a3391 |
12 | 2b137a00 |
13 | 18946b81 |
14 | dcccb60 |
15 | 930bde6 |
hex | 63fa3e0 |
104834016 has 144 divisors (see below), whose sum is σ = 343980000. Its totient is φ = 29666304.
The previous prime is 104834003. The next prime is 104834099. The reversal of 104834016 is 610438401.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nialpdrome in base 14.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300210 + ... + 300558.
It is an arithmetic number, because the mean of its divisors is an integer number (2388750).
Almost surely, 2104834016 is an apocalyptic number.
104834016 is a gapful number since it is divisible by the number (16) 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 104834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990000).
104834016 is an abundant number, since it is smaller than the sum of its proper divisors (239145984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104834016 is a wasteful number, since it uses less digits than its factorization.
104834016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 521 (or 510 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 104834016 is about 10238.8483727419. The cubic root of 104834016 is about 471.5206759041.
The spelling of 104834016 in words is "one hundred four million, eight hundred thirty-four thousand, sixteen".
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