Base | Representation |
---|---|
bin | 100000000011110… |
… | …1111001010010000 |
3 | 2202222020210000100 |
4 | 1000013233022100 |
5 | 4200344120000 |
6 | 254425252400 |
7 | 35441615454 |
oct | 10007571220 |
9 | 2688223010 |
10 | 1075770000 |
11 | 502275a18 |
12 | 260334100 |
13 | 141b490c6 |
14 | a2c32664 |
15 | 6469ba00 |
hex | 401ef290 |
1075770000 has 150 divisors (see below), whose sum is σ = 3762437822. Its totient is φ = 286848000.
The previous prime is 1075769983. The next prime is 1075770011. The reversal of 1075770000 is 775701.
It can be written as a sum of positive squares in 5 ways, for example, as 195105024 + 880664976 = 13968^2 + 29676^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 84024 + ... + 95976.
Almost surely, 21075770000 is an apocalyptic number.
1075770000 is a gapful number since it is divisible by the number (10) 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 1075770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881218911).
1075770000 is an abundant number, since it is smaller than the sum of its proper divisors (2686667822).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1075770000 is a wasteful number, since it uses less digits than its factorization.
1075770000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11987 (or 11963 counting only the distinct ones).
The product of its (nonzero) digits is 1715, while the sum is 27.
The square root of 1075770000 is about 32798.9329094713. The cubic root of 1075770000 is about 1024.6443342656.
The spelling of 1075770000 in words is "one billion, seventy-five million, seven hundred seventy thousand".
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