Base | Representation |
---|---|
bin | 100110101001… |
… | …010010101000 |
3 | 201001200120102 |
4 | 212221102220 |
5 | 10043134400 |
6 | 1001044532 |
7 | 152052164 |
oct | 46512250 |
9 | 21050512 |
10 | 10130600 |
11 | 579a2a7 |
12 | 3486748 |
13 | 213914c |
14 | 14b9ca4 |
15 | d519d5 |
hex | 9a94a8 |
10130600 has 48 divisors (see below), whose sum is σ = 24207900. Its totient is φ = 3942720.
The previous prime is 10130581. The next prime is 10130633. The reversal of 10130600 is 603101.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 6543364 + 3587236 = 2558^2 + 1894^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273782 + ... + 273818.
Almost surely, 210130600 is an apocalyptic number.
10130600 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 10130600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103950).
10130600 is an abundant number, since it is smaller than the sum of its proper divisors (14077300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10130600 is an frugal number, since it uses more digits than its factorization.
10130600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 127 (or 44 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 11.
The square root of 10130600 is about 3182.8603488058. The cubic root of 10130600 is about 216.3773126278.
Adding to 10130600 its reverse (603101), we get a palindrome (10733701).
The spelling of 10130600 in words is "ten million, one hundred thirty thousand, six hundred".
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