| Base | Representation |
|---|---|
| bin | 111110101111110… |
| … | …101101000100000 |
| 3 | 2201100220010010000 |
| 4 | 332233311220200 |
| 5 | 4123444242330 |
| 6 | 252243340000 |
| 7 | 35042016243 |
| oct | 7657655040 |
| 9 | 2640803100 |
| 10 | 1052727840 |
| 11 | 4a026800a |
| 12 | 254681600 |
| 13 | 13a13c0a8 |
| 14 | 9db5525a |
| 15 | 62649560 |
| hex | 3ebf5a20 |
1052727840 has 240 divisors, whose sum is σ = 3844736280. Its totient is φ = 270950400.
The previous prime is 1052727833. The next prime is 1052727857. The reversal of 1052727840 is 487272501.
It can be written as a sum of positive squares in 4 ways, for example, as 856615824 + 196112016 = 29268^2 + 14004^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×10527278402 = 2216471810222131200, which contains 22 as substring.
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 = 1052727795 and 1052727804.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374440 + ... + 377240.
Almost surely, 21052727840 is an apocalyptic number.
1052727840 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 1052727840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922368140).
1052727840 is an abundant number, since it is smaller than the sum of its proper divisors (2792008440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1052727840 is a wasteful number, since it uses less digits than its factorization.
1052727840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2857 (or 2840 counting only the distinct ones).
The product of its (nonzero) digits is 31360, while the sum is 36.
The square root of 1052727840 is about 32445.7676746906. The cubic root of 1052727840 is about 1017.2757755791.
The spelling of 1052727840 in words is "one billion, fifty-two million, seven hundred twenty-seven thousand, eight hundred forty".
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