| Base | Representation |
|---|---|
| bin | 111011101000101… |
| … | …111010000000000 |
| 3 | 2120201200110001100 |
| 4 | 323220233100000 |
| 5 | 4022114110130 |
| 6 | 243140534400 |
| 7 | 33536256531 |
| oct | 7350572000 |
| 9 | 2521613040 |
| 10 | 1000535040 |
| 11 | 47385986a |
| 12 | 23b0b1400 |
| 13 | 12c39688b |
| 14 | 96c4a688 |
| 15 | 5cc89c60 |
| hex | 3ba2f400 |
1000535040 has 132 divisors (see below), whose sum is σ = 3466987524. Its totient is φ = 266797056.
The previous prime is 1000535027. The next prime is 1000535047. The reversal of 1000535040 is 405350001.
It can be written as a sum of positive squares in 2 ways, for example, as 308634624 + 691900416 = 17568^2 + 26304^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000535047) 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 11 ways as a sum of consecutive naturals, for example, 35224 + ... + 56936.
It is an arithmetic number, because the mean of its divisors is an integer number (26265057).
Almost surely, 21000535040 is an apocalyptic number.
1000535040 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 1000535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733493762).
1000535040 is an abundant number, since it is smaller than the sum of its proper divisors (2466452484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000535040 is a wasteful number, since it uses less digits than its factorization.
1000535040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21744 (or 21723 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 18.
The square root of 1000535040 is about 31631.2351956101. The cubic root of 1000535040 is about 1000.1783148686.
Adding to 1000535040 its reverse (405350001), we get a palindrome (1405885041).
The spelling of 1000535040 in words is "one billion, five hundred thirty-five thousand, forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.078 sec. • engine limits •