Base | Representation |
---|---|
bin | 111101000010010… |
… | …111100110000010 |
3 | 2122100220011121000 |
4 | 331002113212002 |
5 | 4044122443411 |
6 | 245340312430 |
7 | 34243056300 |
oct | 7502274602 |
9 | 2570804530 |
10 | 1024031106 |
11 | 4860477aa |
12 | 246b42716 |
13 | 134202387 |
14 | 9a005270 |
15 | 5ed7b956 |
hex | 3d097982 |
1024031106 has 96 divisors (see below), whose sum is σ = 2786616000. Its totient is φ = 277167744.
The previous prime is 1024031077. The next prime is 1024031119. The reversal of 1024031106 is 6011304201.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40090 + ... + 60458.
It is an arithmetic number, because the mean of its divisors is an integer number (29027250).
Almost surely, 21024031106 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1024031106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393308000).
1024031106 is an abundant number, since it is smaller than the sum of its proper divisors (1762584894).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024031106 is a wasteful number, since it uses less digits than its factorization.
1024031106 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20413 (or 20400 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 1024031106 is about 32000.4860275590. The cubic root of 1024031106 is about 1007.9470458293.
Adding to 1024031106 its reverse (6011304201), we get a palindrome (7035335307).
The spelling of 1024031106 in words is "one billion, twenty-four million, thirty-one thousand, one hundred six".
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