Base | Representation |
---|---|
bin | 1100101001001… |
… | …01010100110100 |
3 | 21101120100200100 |
4 | 12110211110310 |
5 | 204122342220 |
6 | 14305114100 |
7 | 2425326042 |
oct | 624452464 |
9 | 241510610 |
10 | 106059060 |
11 | 5495a818 |
12 | 2b628930 |
13 | 18c85653 |
14 | 1012b392 |
15 | 949ed90 |
hex | 6525534 |
106059060 has 144 divisors (see below), whose sum is σ = 337559040. Its totient is φ = 26922240.
The previous prime is 106058993. The next prime is 106059077. The reversal of 106059060 is 60950601.
106059060 is a `hidden beast` number, since 10 + 6 + 0 + 590 + 60 = 666.
It is a super-2 number, since 2×1060590602 = 22497048416167200, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463026 + ... + 463254.
It is an arithmetic number, because the mean of its divisors is an integer number (2344160).
Almost surely, 2106059060 is an apocalyptic number.
106059060 is a gapful number since it is divisible by the number (10) 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 106059060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779520).
106059060 is an abundant number, since it is smaller than the sum of its proper divisors (231499980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106059060 is a wasteful number, since it uses less digits than its factorization.
106059060 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 358 (or 353 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 27.
The square root of 106059060 is about 10298.4979487302. The cubic root of 106059060 is about 473.3502286283.
The spelling of 106059060 in words is "one hundred six million, fifty-nine thousand, sixty".
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