Base | Representation |
---|---|
bin | 111110111011011… |
… | …111011110000000 |
3 | 2201120122022201002 |
4 | 332323133132000 |
5 | 4130240022114 |
6 | 252433031132 |
7 | 35110001630 |
oct | 7673373600 |
9 | 2646568632 |
10 | 1055782784 |
11 | 4a1a64261 |
12 | 2556b54a8 |
13 | 13a96b754 |
14 | a030c6c0 |
15 | 62a4e7de |
hex | 3eedf780 |
1055782784 has 128 divisors (see below), whose sum is σ = 2502508800. Its totient is φ = 434294784.
The previous prime is 1055782771. The next prime is 1055782799. The reversal of 1055782784 is 4872875501.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×10557827842 = 2229354573981581312, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2581172 + ... + 2581580.
It is an arithmetic number, because the mean of its divisors is an integer number (19550850).
Almost surely, 21055782784 is an apocalyptic number.
1055782784 is a gapful number since it is divisible by the number (14) 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 1055782784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251254400).
1055782784 is an abundant number, since it is smaller than the sum of its proper divisors (1446726016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1055782784 is an equidigital number, since it uses as much as digits as its factorization.
1055782784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 540 (or 528 counting only the distinct ones).
The product of its (nonzero) digits is 627200, while the sum is 47.
The square root of 1055782784 is about 32492.8112664940. The cubic root of 1055782784 is about 1018.2588467698.
The spelling of 1055782784 in words is "one billion, fifty-five million, seven hundred eighty-two thousand, seven hundred eighty-four".
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