Base | Representation |
---|---|
bin | 100001101011100… |
… | …1000110001000000 |
3 | 2220202112222211110 |
4 | 1003113020301000 |
5 | 4303303414223 |
6 | 304050443320 |
7 | 40002006660 |
oct | 10327106100 |
9 | 2822488743 |
10 | 1130138688 |
11 | 52aa2aa18 |
12 | 276593540 |
13 | 1501a3b23 |
14 | aa1461a0 |
15 | 6933ad93 |
hex | 435c8c40 |
1130138688 has 112 divisors (see below), whose sum is σ = 3490228224. Its totient is φ = 316008960.
The previous prime is 1130138683. The next prime is 1130138689. The reversal of 1130138688 is 8868310311.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×11301386882 = 2554426908228722688, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1130138683) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54223 + ... + 72113.
It is an arithmetic number, because the mean of its divisors is an integer number (31162752).
Almost surely, 21130138688 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 1130138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745114112).
1130138688 is an abundant number, since it is smaller than the sum of its proper divisors (2360089536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1130138688 is a wasteful number, since it uses less digits than its factorization.
1130138688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17960 (or 17950 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 39.
The square root of 1130138688 is about 33617.5354242395. The cubic root of 1130138688 is about 1041.6230475715.
Adding to 1130138688 its reverse (8868310311), we get a palindrome (9998448999).
The spelling of 1130138688 in words is "one billion, one hundred thirty million, one hundred thirty-eight thousand, six hundred eighty-eight".
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