| Base | Representation |
|---|---|
| bin | 111101101101001… |
| … | …000101000010000 |
| 3 | 2200010222202001022 |
| 4 | 331231020220100 |
| 5 | 4110010221000 |
| 6 | 250420455012 |
| 7 | 34440261152 |
| oct | 7555105020 |
| 9 | 2603882038 |
| 10 | 1035242000 |
| 11 | 491404701 |
| 12 | 24a84a468 |
| 13 | 136629140 |
| 14 | 9b6c2ad2 |
| 15 | 60d43585 |
| hex | 3db48a10 |
1035242000 has 160 divisors (see below), whose sum is σ = 2790758880. Its totient is φ = 368793600.
The previous prime is 1035241973. The next prime is 1035242009. The reversal of 1035242000 is 2425301.
It can be written as a sum of positive squares in 16 ways, for example, as 576768256 + 458473744 = 24016^2 + 21412^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 1035242000.
It is not an unprimeable number, because it can be changed into a prime (1035242009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753314 + ... + 754686.
It is an arithmetic number, because the mean of its divisors is an integer number (17442243).
Almost surely, 21035242000 is an apocalyptic number.
1035242000 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 1035242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395379440).
1035242000 is an abundant number, since it is smaller than the sum of its proper divisors (1755516880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1035242000 is a wasteful number, since it uses less digits than its factorization.
1035242000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1438 (or 1422 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 17.
The square root of 1035242000 is about 32175.1767671912. The cubic root of 1035242000 is about 1011.6119734934.
Adding to 1035242000 its reverse (2425301), we get a palindrome (1037667301).
The spelling of 1035242000 in words is "one billion, thirty-five million, two hundred forty-two thousand".
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