Base | Representation |
---|---|
bin | 100001001110110… |
… | …0101111001000000 |
3 | 2212201011121000200 |
4 | 1002131211321000 |
5 | 4240423204012 |
6 | 302351245200 |
7 | 36426541140 |
oct | 10235457100 |
9 | 2781147020 |
10 | 1115053632 |
11 | 522467330 |
12 | 271519800 |
13 | 14a021864 |
14 | a813a920 |
15 | 67d5b3dc |
hex | 42765e40 |
1115053632 has 336 divisors, whose sum is σ = 4118360064. Its totient is φ = 279936000.
The previous prime is 1115053609. The next prime is 1115053633. The reversal of 1115053632 is 2363505111.
1115053632 is a `hidden beast` number, since 11 + 15 + 0 + 5 + 3 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a junction number, because it is equal to n+sod(n) for n = 1115053596 and 1115053605.
It is not an unprimeable number, because it can be changed into a prime (1115053633) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374507 + ... + 1375317.
It is an arithmetic number, because the mean of its divisors is an integer number (12257024).
Almost surely, 21115053632 is an apocalyptic number.
1115053632 is a gapful number since it is divisible by the number (12) 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 1115053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059180032).
1115053632 is an abundant number, since it is smaller than the sum of its proper divisors (3003306432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1115053632 is a wasteful number, since it uses less digits than its factorization.
1115053632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 878 (or 865 counting only the distinct ones).
The product of its (nonzero) digits is 2700, while the sum is 27.
The square root of 1115053632 is about 33392.4187803160. The cubic root of 1115053632 is about 1036.9677554915.
Adding to 1115053632 its reverse (2363505111), we get a palindrome (3478558743).
The spelling of 1115053632 in words is "one billion, one hundred fifteen million, fifty-three thousand, six hundred thirty-two".
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