Base | Representation |
---|---|
bin | 100110101001… |
… | …001100100000 |
3 | 201001200000220 |
4 | 212221030200 |
5 | 10043131313 |
6 | 1001043040 |
7 | 152051064 |
oct | 46511440 |
9 | 21050026 |
10 | 10130208 |
11 | 5799a80 |
12 | 3486480 |
13 | 2138c0a |
14 | 14b9aa4 |
15 | d51823 |
hex | 9a9320 |
10130208 has 96 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 2995200.
The previous prime is 10130207. The next prime is 10130213. The reversal of 10130208 is 80203101.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×101302082 = 205242228246528, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10130207) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55878 + ... + 56058.
It is an arithmetic number, because the mean of its divisors is an integer number (309582).
Almost surely, 210130208 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 10130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).
10130208 is an abundant number, since it is smaller than the sum of its proper divisors (19589664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10130208 is a wasteful number, since it uses less digits than its factorization.
10130208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 258 (or 250 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 10130208 is about 3182.7987683798. The cubic root of 10130208 is about 216.3745217104.
Adding to 10130208 its reverse (80203101), we get a palindrome (90333309).
The spelling of 10130208 in words is "ten million, one hundred thirty thousand, two hundred eight".
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