Base | Representation |
---|---|
bin | 1011111110111… |
… | …11101000000000 |
3 | 21000011111011211 |
4 | 11333133220000 |
5 | 201213440223 |
6 | 13550415504 |
7 | 2330332246 |
oct | 577375000 |
9 | 230144154 |
10 | 100530688 |
11 | 51824215 |
12 | 29801594 |
13 | 17a9b21b |
14 | d4cc796 |
15 | 8c5bd0d |
hex | 5fdfa00 |
100530688 has 40 divisors (see below), whose sum is σ = 205807140. Its totient is φ = 49029120.
The previous prime is 100530671. The next prime is 100530713. The reversal of 100530688 is 886035001.
It can be written as a sum of positive squares in 2 ways, for example, as 73822464 + 26708224 = 8592^2 + 5168^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18598 + ... + 23386.
Almost surely, 2100530688 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 100530688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102903570).
100530688 is an abundant number, since it is smaller than the sum of its proper divisors (105276452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100530688 is an frugal number, since it uses more digits than its factorization.
100530688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4848 (or 4832 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 31.
The square root of 100530688 is about 10026.4992893831. The cubic root of 100530688 is about 464.9785136717.
Adding to 100530688 its reverse (886035001), we get a palindrome (986565689).
The spelling of 100530688 in words is "one hundred million, five hundred thirty thousand, six hundred eighty-eight".
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