Base | Representation |
---|---|
bin | 100001100011111… |
… | …1001001101000000 |
3 | 2220111000222111000 |
4 | 1003013321031000 |
5 | 4301243032114 |
6 | 303425052000 |
7 | 36623025054 |
oct | 10307711500 |
9 | 2814028430 |
10 | 1126142784 |
11 | 528750818 |
12 | 275187000 |
13 | 14c4050a0 |
14 | a97c5c64 |
15 | 68cebe09 |
hex | 431f9340 |
1126142784 has 112 divisors (see below), whose sum is σ = 3565387840. Its totient is φ = 346498560.
The previous prime is 1126142783. The next prime is 1126142821. The reversal of 1126142784 is 4872416211.
It is a happy number.
1126142784 is a `hidden beast` number, since 1 + 12 + 614 + 27 + 8 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1126142783) 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 15 ways as a sum of consecutive naturals, for example, 2602 + ... + 47529.
It is an arithmetic number, because the mean of its divisors is an integer number (31833820).
Almost surely, 21126142784 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 1126142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782693920).
1126142784 is an abundant number, since it is smaller than the sum of its proper divisors (2439245056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1126142784 is a wasteful number, since it uses less digits than its factorization.
1126142784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 50165 (or 50149 counting only the distinct ones).
The product of its digits is 21504, while the sum is 36.
The square root of 1126142784 is about 33558.0509565141. The cubic root of 1126142784 is about 1040.3939533152.
Adding to 1126142784 its reverse (4872416211), we get a palindrome (5998558995).
It can be divided in two parts, 11261 and 42784, that added together give a palindrome (54045).
The spelling of 1126142784 in words is "one billion, one hundred twenty-six million, one hundred forty-two thousand, seven hundred eighty-four".
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