| Base | Representation |
|---|---|
| bin | 100000011101100… |
| … | …1000011010100000 |
| 3 | 2210220121021012100 |
| 4 | 1000323020122200 |
| 5 | 4212321232114 |
| 6 | 300030130400 |
| 7 | 35664260640 |
| oct | 10073103240 |
| 9 | 2726537170 |
| 10 | 1089242784 |
| 11 | 509938253 |
| 12 | 264950a00 |
| 13 | 144885576 |
| 14 | a493c520 |
| 15 | 6595d909 |
| hex | 40ec86a0 |
1089242784 has 288 divisors, whose sum is σ = 3786531840. Its totient is φ = 290304000.
The previous prime is 1089242771. The next prime is 1089242797. The reversal of 1089242784 is 4872429801.
It is an interprime number because it is at equal distance from previous prime (1089242771) and next prime (1089242797).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
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 47 ways as a sum of consecutive naturals, for example, 1812084 + ... + 1812684.
It is an arithmetic number, because the mean of its divisors is an integer number (13147680).
Almost surely, 21089242784 is an apocalyptic number.
1089242784 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 1089242784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893265920).
1089242784 is an abundant number, since it is smaller than the sum of its proper divisors (2697289056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1089242784 is a wasteful number, since it uses less digits than its factorization.
1089242784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 684 (or 673 counting only the distinct ones).
The product of its (nonzero) digits is 258048, while the sum is 45.
The square root of 1089242784 is about 33003.6783404517. The cubic root of 1089242784 is about 1028.9040984779.
It can be divided in two parts, 1089242 and 784, that added together give a triangular number (1090026 = T1476).
The spelling of 1089242784 in words is "one billion, eighty-nine million, two hundred forty-two thousand, seven hundred eighty-four".
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