Base | Representation |
---|---|
bin | 111101100100100… |
… | …101010001000000 |
3 | 2122222202211121021 |
4 | 331210211101000 |
5 | 4103422000000 |
6 | 250300435224 |
7 | 34412232544 |
oct | 7544452100 |
9 | 2588684537 |
10 | 1033000000 |
11 | 49011320a |
12 | 249b48b14 |
13 | 136022806 |
14 | 9b29ba24 |
15 | 60a4e11a |
hex | 3d925440 |
1033000000 has 98 divisors (see below), whose sum is σ = 2564771858. Its totient is φ = 412800000.
The previous prime is 1032999997. The next prime is 1033000027. The reversal of 1033000000 is 3301.
It is a happy number.
It can be written as a sum of positive squares in 7 ways, for example, as 961496064 + 71503936 = 31008^2 + 8456^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999484 + ... + 1000516.
Almost surely, 21033000000 is an apocalyptic number.
1033000000 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 1033000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282385929).
1033000000 is an abundant number, since it is smaller than the sum of its proper divisors (1531771858).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1033000000 is an frugal number, since it uses more digits than its factorization.
1033000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1075 (or 1040 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 7.
The square root of 1033000000 is about 32140.3173599764. The cubic root of 1033000000 is about 1010.8811706815.
Adding to 1033000000 its reverse (3301), we get a palindrome (1033003301).
The spelling of 1033000000 in words is "one billion, thirty-three million", and thus it is an aban number and an uban number.
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