Base | Representation |
---|---|
bin | 100110010000… |
… | …000001100000 |
3 | 200212102121020 |
4 | 212100001200 |
5 | 10031331404 |
6 | 554525440 |
7 | 151141353 |
oct | 46200140 |
9 | 20772536 |
10 | 10027104 |
11 | 572956a |
12 | 3436880 |
13 | 2100cc9 |
14 | 149029a |
15 | d30ed9 |
hex | 990060 |
10027104 has 48 divisors (see below), whose sum is σ = 26535600. Its totient is φ = 3315200.
The previous prime is 10027099. The next prime is 10027139. The reversal of 10027104 is 40172001.
It is a tau number, because it is divible by the number of its divisors (48).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13954 + ... + 14654.
It is an arithmetic number, because the mean of its divisors is an integer number (552825).
Almost surely, 210027104 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 10027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267800).
10027104 is an abundant number, since it is smaller than the sum of its proper divisors (16508496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10027104 is a wasteful number, since it uses less digits than its factorization.
10027104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 863 (or 855 counting only the distinct ones).
The product of its (nonzero) digits is 56, while the sum is 15.
The square root of 10027104 is about 3166.5602789146. The cubic root of 10027104 is about 215.6379394041.
Adding to 10027104 its reverse (40172001), we get a palindrome (50199105).
The spelling of 10027104 in words is "ten million, twenty-seven thousand, one hundred four".
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