| Base | Representation |
|---|---|
| bin | 100001010011111… |
| … | …1000100000100000 |
| 3 | 2212220020122120100 |
| 4 | 1002213320200200 |
| 5 | 4242121020303 |
| 6 | 302525142400 |
| 7 | 36461505141 |
| oct | 10247704040 |
| 9 | 2786218510 |
| 10 | 1117751328 |
| 11 | 523a3a131 |
| 12 | 2723baa00 |
| 13 | 14a757725 |
| 14 | a863dac8 |
| 15 | 681e08a3 |
| hex | 429f8820 |
1117751328 has 72 divisors (see below), whose sum is σ = 3192439068. Its totient is φ = 370962432.
The previous prime is 1117751317. The next prime is 1117751387. The reversal of 1117751328 is 8231577111.
1117751328 is a `hidden beast` number, since 1 + 117 + 7 + 513 + 28 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1072431504 + 45319824 = 32748^2 + 6732^2 .
It is a tau number, because it is divible by the number of its divisors (72).
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 = 1117751292 and 1117751301.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58776 + ... + 75432.
Almost surely, 21117751328 is an apocalyptic number.
1117751328 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 1117751328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596219534).
1117751328 is an abundant number, since it is smaller than the sum of its proper divisors (2074687740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1117751328 is a wasteful number, since it uses less digits than its factorization.
1117751328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16906 (or 16895 counting only the distinct ones).
The product of its digits is 11760, while the sum is 36.
The square root of 1117751328 is about 33432.7882175567. The cubic root of 1117751328 is about 1037.8033418521.
The spelling of 1117751328 in words is "one billion, one hundred seventeen million, seven hundred fifty-one thousand, three hundred twenty-eight".
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