Base | Representation |
---|---|
bin | 111111010011100… |
… | …111010000100000 |
3 | 2202000112120201121 |
4 | 333103213100200 |
5 | 4133344344034 |
6 | 253220342024 |
7 | 35214516241 |
oct | 7723472040 |
9 | 2660476647 |
10 | 1062106144 |
11 | 4a5593080 |
12 | 257844914 |
13 | 13c073998 |
14 | a10b6cc8 |
15 | 6339d1b4 |
hex | 3f4e7420 |
1062106144 has 96 divisors (see below), whose sum is σ = 2520637056. Its totient is φ = 434565120.
The previous prime is 1062106117. The next prime is 1062106147. The reversal of 1062106144 is 4416012601.
1062106144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10621061442 = 2256138922245097472, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1062106147) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133774 + ... + 141490.
It is an arithmetic number, because the mean of its divisors is an integer number (26256636).
Almost surely, 21062106144 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 1062106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260318528).
1062106144 is an abundant number, since it is smaller than the sum of its proper divisors (1458530912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1062106144 is a wasteful number, since it uses less digits than its factorization.
1062106144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7778 (or 7770 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 25.
The square root of 1062106144 is about 32589.9699907809. The cubic root of 1062106144 is about 1020.2876748495.
Adding to 1062106144 its reverse (4416012601), we get a palindrome (5478118745).
The spelling of 1062106144 in words is "one billion, sixty-two million, one hundred six thousand, one hundred forty-four".
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