Base | Representation |
---|---|
bin | 100001011100010… |
… | …0110101010000000 |
3 | 2220012111100100211 |
4 | 1002320212222000 |
5 | 4244231302111 |
6 | 303203123504 |
7 | 36543662416 |
oct | 10270465200 |
9 | 2805440324 |
10 | 1122134656 |
11 | 526463415 |
12 | 273973594 |
13 | 14b630906 |
14 | a90612b6 |
15 | 687a9521 |
hex | 42e26a80 |
1122134656 has 64 divisors (see below), whose sum is σ = 2290226400. Its totient is φ = 547456000.
The previous prime is 1122134653. The next prime is 1122134677. The reversal of 1122134656 is 6564312211.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (1122134653) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 1702455 + ... + 1703113.
Almost surely, 21122134656 is an apocalyptic number.
1122134656 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 1122134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145113200).
1122134656 is an abundant number, since it is smaller than the sum of its proper divisors (1168091744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1122134656 is an equidigital number, since it uses as much as digits as its factorization.
1122134656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 977 (or 965 counting only the distinct ones).
The product of its digits is 8640, while the sum is 31.
The square root of 1122134656 is about 33498.2784035240. The cubic root of 1122134656 is about 1039.1581747865.
Adding to 1122134656 its reverse (6564312211), we get a palindrome (7686446867).
The spelling of 1122134656 in words is "one billion, one hundred twenty-two million, one hundred thirty-four thousand, six hundred fifty-six".
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