| Base | Representation |
|---|---|
| bin | 100000011111000… |
| … | …0001010010000000 |
| 3 | 2210222000201220101 |
| 4 | 1000332001102000 |
| 5 | 4213020000000 |
| 6 | 300054252144 |
| 7 | 36003563365 |
| oct | 10076012200 |
| 9 | 2728021811 |
| 10 | 1090000000 |
| 11 | 50a305151 |
| 12 | 265057054 |
| 13 | 144a8c11b |
| 14 | a4a9846c |
| 15 | 65a5ce6a |
| hex | 40f81480 |
1090000000 has 128 divisors (see below), whose sum is σ = 2739250800. Its totient is φ = 432000000.
The previous prime is 1089999997. The next prime is 1090000001. The reversal of 1090000000 is 901.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 932447296 + 157552704 = 30536^2 + 12552^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (1090000001) 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, 9999946 + ... + 10000054.
Almost surely, 21090000000 is an apocalyptic number.
1090000000 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 1090000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369625400).
1090000000 is an abundant number, since it is smaller than the sum of its proper divisors (1649250800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1090000000 is an frugal number, since it uses more digits than its factorization.
1090000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 158 (or 116 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 10.
The square root of 1090000000 is about 33015.1480384384. The cubic root of 1090000000 is about 1029.1424665715.
Adding to 1090000000 its reverse (901), we get a palindrome (1090000901).
It can be divided in two parts, 10 and 90000000, that multiplied together give a square (900000000 = 300002).
The spelling of 1090000000 in words is "one billion, ninety million", and thus it is an aban number and an uban number.
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