Base | Representation |
---|---|
bin | 100001011110011… |
… | …1111111111000000 |
3 | 2220021122220001100 |
4 | 1002330333333000 |
5 | 4300030140401 |
6 | 303243534400 |
7 | 36556532100 |
oct | 10274777700 |
9 | 2807586040 |
10 | 1123286976 |
11 | 527080149 |
12 | 27422a400 |
13 | 14b945266 |
14 | a9281200 |
15 | 68935b86 |
hex | 42f3ffc0 |
1123286976 has 126 divisors (see below), whose sum is σ = 3745458600. Its totient is φ = 320931072.
The previous prime is 1123286911. The next prime is 1123286977. The reversal of 1123286976 is 6796823211.
It is a tau number, because it is divible by the number of its divisors (126).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1123286977) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8325 + ... + 48123.
Almost surely, 21123286976 is an apocalyptic number.
1123286976 is a gapful number since it is divisible by the number (16) 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 1123286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872729300).
1123286976 is an abundant number, since it is smaller than the sum of its proper divisors (2622171624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1123286976 is a wasteful number, since it uses less digits than its factorization.
1123286976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 39831 (or 39811 counting only the distinct ones).
The product of its digits is 217728, while the sum is 45.
The square root of 1123286976 is about 33515.4736800780. The cubic root of 1123286976 is about 1039.5137569176.
The spelling of 1123286976 in words is "one billion, one hundred twenty-three million, two hundred eighty-six thousand, nine hundred seventy-six".
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