Base | Representation |
---|---|
bin | 100000100100001… |
… | …0000001000000000 |
3 | 2211011002000020121 |
4 | 1001020100020000 |
5 | 4214211312430 |
6 | 300231550024 |
7 | 36035434336 |
oct | 10110201000 |
9 | 2734060217 |
10 | 1092682240 |
11 | 510877381 |
12 | 265b2b314 |
13 | 1454bac50 |
14 | a5195b56 |
15 | 65ddca7a |
hex | 41210200 |
1092682240 has 80 divisors (see below), whose sum is σ = 2821491288. Its totient is φ = 403439616.
The previous prime is 1092682237. The next prime is 1092682243. The reversal of 1092682240 is 422862901.
It is an interprime number because it is at equal distance from previous prime (1092682237) and next prime (1092682243).
It can be written as a sum of positive squares in 4 ways, for example, as 758231296 + 334450944 = 27536^2 + 18288^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×10926822402 = 2387908955222835200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1092682196 and 1092682205.
It is not an unprimeable number, because it can be changed into a prime (1092682243) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16864 + ... + 49696.
Almost surely, 21092682240 is an apocalyptic number.
1092682240 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 1092682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410745644).
1092682240 is an abundant number, since it is smaller than the sum of its proper divisors (1728809048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1092682240 is an equidigital number, since it uses as much as digits as its factorization.
1092682240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32869 (or 32853 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 34.
The square root of 1092682240 is about 33055.7444327003. The cubic root of 1092682240 is about 1029.9859362770.
The spelling of 1092682240 in words is "one billion, ninety-two million, six hundred eighty-two thousand, two hundred forty".
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