Base | Representation |
---|---|
bin | 111101011000111… |
… | …010100111100010 |
3 | 2122210000110110000 |
4 | 331120322213202 |
5 | 4102131113410 |
6 | 250111120430 |
7 | 34344234366 |
oct | 7530724742 |
9 | 2583013400 |
10 | 1029941730 |
11 | 489414514 |
12 | 248b13116 |
13 | 1354c179c |
14 | 9ab032a6 |
15 | 60647dc0 |
hex | 3d63a9e2 |
1029941730 has 80 divisors (see below), whose sum is σ = 2837036664. Its totient is φ = 267943680.
The previous prime is 1029941729. The next prime is 1029941741. The reversal of 1029941730 is 371499201.
It can be written as a sum of positive squares in 4 ways, for example, as 196868961 + 833072769 = 14031^2 + 28863^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17704 + ... + 48716.
Almost surely, 21029941730 is an apocalyptic number.
1029941730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1029941730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418518332).
1029941730 is an abundant number, since it is smaller than the sum of its proper divisors (1807094934).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1029941730 is a wasteful number, since it uses less digits than its factorization.
1029941730 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31073 (or 31064 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 36.
The square root of 1029941730 is about 32092.7052458966. The cubic root of 1029941730 is about 1009.8825893645.
The spelling of 1029941730 in words is "one billion, twenty-nine million, nine hundred forty-one thousand, seven hundred thirty".
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