Base | Representation |
---|---|
bin | 100110101001… |
… | …001110000000 |
3 | 201001200011110 |
4 | 212221032000 |
5 | 10043132204 |
6 | 1001043320 |
7 | 152051262 |
oct | 46511600 |
9 | 21050143 |
10 | 10130304 |
11 | 579a058 |
12 | 3486540 |
13 | 2138c82 |
14 | 14b9b32 |
15 | d51889 |
hex | 9a9380 |
10130304 has 128 divisors (see below), whose sum is σ = 29767680. Its totient is φ = 3041280.
The previous prime is 10130303. The next prime is 10130311. The reversal of 10130304 is 40303101.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 10130304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10130303) 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, 273774 + ... + 273810.
It is an arithmetic number, because the mean of its divisors is an integer number (232560).
Almost surely, 210130304 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 10130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883840).
10130304 is an abundant number, since it is smaller than the sum of its proper divisors (19637376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10130304 is a wasteful number, since it uses less digits than its factorization.
10130304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 108 (or 96 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 10130304 is about 3182.8138494106. The cubic root of 10130304 is about 216.3752052071.
Adding to 10130304 its reverse (40303101), we get a palindrome (50433405).
The spelling of 10130304 in words is "ten million, one hundred thirty thousand, three hundred four".
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