Base | Representation |
---|---|
bin | 100001100101100… |
… | …0110111001001000 |
3 | 2220112121210011212 |
4 | 1003023012321020 |
5 | 4302002012123 |
6 | 303455112252 |
7 | 36633134252 |
oct | 10313067110 |
9 | 2815553155 |
10 | 1126985288 |
11 | 529176800 |
12 | 275512688 |
13 | 14c63b700 |
14 | a9964cd2 |
15 | 68e16878 |
hex | 432c6e48 |
1126985288 has 108 divisors (see below), whose sum is σ = 2545737705. Its totient is φ = 467163840.
The previous prime is 1126985287. The next prime is 1126985291. The reversal of 1126985288 is 8825896211.
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 2 ways, for example, as 963605764 + 163379524 = 31042^2 + 12782^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=23738.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1126985281) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13578095 + ... + 13578177.
Almost surely, 21126985288 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 1126985288
1126985288 is an abundant number, since it is smaller than the sum of its proper divisors (1418752417).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1126985288 is a wasteful number, since it uses less digits than its factorization.
1126985288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 220 (or 109 counting only the distinct ones).
The product of its digits is 552960, while the sum is 50.
The square root of 1126985288 is about 33570.6015436125. The cubic root of 1126985288 is about 1040.6533394790.
Multiplying 1126985288 by its sum of digits (50), we get a square (56349264400 = 2373802).
The spelling of 1126985288 in words is "one billion, one hundred twenty-six million, nine hundred eighty-five thousand, two hundred eighty-eight".
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