Base | Representation |
---|---|
bin | 100100110111110… |
… | …0011000010100000 |
3 | 10012020000022210100 |
4 | 1021233203002200 |
5 | 10013210413211 |
6 | 322433302400 |
7 | 42442015110 |
oct | 11157430240 |
9 | 3166008710 |
10 | 1237201056 |
11 | 585405513 |
12 | 2a6404a00 |
13 | 16941b040 |
14 | ba455040 |
15 | 73938156 |
hex | 49be30a0 |
1237201056 has 144 divisors (see below), whose sum is σ = 4330295424. Its totient is φ = 326287872.
The previous prime is 1237201039. The next prime is 1237201081. The reversal of 1237201056 is 6501027321.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 2605 + ... + 49811.
It is an arithmetic number, because the mean of its divisors is an integer number (30071496).
Almost surely, 21237201056 is an apocalyptic number.
1237201056 is a gapful number since it is divisible by the number (16) 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 1237201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165147712).
1237201056 is an abundant number, since it is smaller than the sum of its proper divisors (3093094368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1237201056 is a wasteful number, since it uses less digits than its factorization.
1237201056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47243 (or 47232 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 1237201056 is about 35173.8689370390. The cubic root of 1237201056 is about 1073.5281261968.
Adding to 1237201056 its reverse (6501027321), we get a palindrome (7738228377).
The spelling of 1237201056 in words is "one billion, two hundred thirty-seven million, two hundred one thousand, fifty-six".
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