| Base | Representation |
|---|---|
| bin | 111100001011110… |
| … | …000111110001000 |
| 3 | 2121100221221111200 |
| 4 | 330023300332020 |
| 5 | 4031441422003 |
| 6 | 244105424200 |
| 7 | 34010311500 |
| oct | 7413607610 |
| 9 | 2540857450 |
| 10 | 1009717128 |
| 11 | 478a60472 |
| 12 | 24219b060 |
| 13 | 131260074 |
| 14 | 9815aa00 |
| 15 | 5d9a06a3 |
| hex | 3c2f0f88 |
1009717128 has 288 divisors, whose sum is σ = 3361176000. Its totient is φ = 272643840.
The previous prime is 1009717117. The next prime is 1009717139. The reversal of 1009717128 is 8217179001.
1009717128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1009717117) and next prime (1009717139).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1009717092 and 1009717101.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7264083 + ... + 7264221.
It is an arithmetic number, because the mean of its divisors is an integer number (11670750).
Almost surely, 21009717128 is an apocalyptic number.
1009717128 is a gapful number since it is divisible by the number (18) 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 1009717128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680588000).
1009717128 is an abundant number, since it is smaller than the sum of its proper divisors (2351458872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1009717128 is a wasteful number, since it uses less digits than its factorization.
1009717128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 265 (or 251 counting only the distinct ones).
The product of its (nonzero) digits is 7056, while the sum is 36.
The square root of 1009717128 is about 31776.0464501171. The cubic root of 1009717128 is about 1003.2286075418.
It can be divided in two parts, 10097 and 17128, that added together give a square (27225 = 1652).
The spelling of 1009717128 in words is "one billion, nine million, seven hundred seventeen thousand, one hundred twenty-eight".
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