Base | Representation |
---|---|
bin | 100100101010010… |
… | …0001001000000000 |
3 | 10011201200022222222 |
4 | 1021110201020000 |
5 | 10004402142303 |
6 | 322021350212 |
7 | 42324544031 |
oct | 11124411000 |
9 | 3151608888 |
10 | 1230115328 |
11 | 581405942 |
12 | 2a3b68368 |
13 | 167b09ac0 |
14 | b952ca88 |
15 | 72ed8938 |
hex | 49521200 |
1230115328 has 160 divisors (see below), whose sum is σ = 2846067840. Its totient is φ = 526417920.
The previous prime is 1230115273. The next prime is 1230115363. The reversal of 1230115328 is 8235110321.
It is a Cunningham number, because it is equal to 350732-1.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 1230115297 and 1230115306.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8978876 + ... + 8979012.
It is an arithmetic number, because the mean of its divisors is an integer number (17787924).
Almost surely, 21230115328 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 1230115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423033920).
1230115328 is an abundant number, since it is smaller than the sum of its proper divisors (1615952512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1230115328 is a wasteful number, since it uses less digits than its factorization.
1230115328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 258 (or 242 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 26.
The square root of 1230115328 is about 35072.9999857440. Note that the first 4 decimals coincide. The cubic root of 1230115328 is about 1071.4747556845.
1230115328 divided by its sum of digits (26) gives a triangular number (47312128 = T9727).
Adding to 1230115328 its reverse (8235110321), we get a palindrome (9465225649).
The spelling of 1230115328 in words is "one billion, two hundred thirty million, one hundred fifteen thousand, three hundred twenty-eight".
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