| Base | Representation |
|---|---|
| bin | 111011101010110… |
| … | …011000101100000 |
| 3 | 2120202200212210100 |
| 4 | 323222303011200 |
| 5 | 4022233400130 |
| 6 | 243200302400 |
| 7 | 33543666060 |
| oct | 7352630540 |
| 9 | 2522625710 |
| 10 | 1001075040 |
| 11 | 474098549 |
| 12 | 23b311a00 |
| 13 | 12c5255c4 |
| 14 | 96d4b3a0 |
| 15 | 5cd44c60 |
| hex | 3bab3160 |
1001075040 has 288 divisors, whose sum is σ = 4110462720. Its totient is φ = 216732672.
The previous prime is 1001075027. The next prime is 1001075129. The reversal of 1001075040 is 405701001.
1001075040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×10010750402 = 2004302471422003200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188907 + ... + 194133.
It is an arithmetic number, because the mean of its divisors is an integer number (14272440).
Almost surely, 21001075040 is an apocalyptic number.
1001075040 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 1001075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055231360).
1001075040 is an abundant number, since it is smaller than the sum of its proper divisors (3109387680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001075040 is a wasteful number, since it uses less digits than its factorization.
1001075040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5274 (or 5263 counting only the distinct ones).
The product of its (nonzero) digits is 140, while the sum is 18.
The square root of 1001075040 is about 31639.7699106678. The cubic root of 1001075040 is about 1000.3582183310.
Adding to 1001075040 its reverse (405701001), we get a palindrome (1406776041).
The spelling of 1001075040 in words is "one billion, one million, seventy-five thousand, forty".
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