Base | Representation |
---|---|
bin | 100110010111… |
… | …110101100000 |
3 | 200221001111102 |
4 | 212113311200 |
5 | 10033342404 |
6 | 555333532 |
7 | 151333556 |
oct | 46276540 |
9 | 20831442 |
10 | 10059104 |
11 | 5750610 |
12 | 34512a8 |
13 | 2112743 |
14 | 149bbd6 |
15 | d3a71e |
hex | 997d60 |
10059104 has 72 divisors (see below), whose sum is σ = 23446584. Its totient is φ = 4198400.
The previous prime is 10059089. The next prime is 10059107. The reversal of 10059104 is 40195001.
10059104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10059107) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245324 + ... + 245364.
It is an arithmetic number, because the mean of its divisors is an integer number (325647).
Almost surely, 210059104 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 10059104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723292).
10059104 is an abundant number, since it is smaller than the sum of its proper divisors (13387480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10059104 is a wasteful number, since it uses less digits than its factorization.
10059104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 120 (or 71 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 20.
The square root of 10059104 is about 3171.6090553534. The cubic root of 10059104 is about 215.8670878702.
The spelling of 10059104 in words is "ten million, fifty-nine thousand, one hundred four".
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