Base | Representation |
---|---|
bin | 100001100110100… |
… | …1010000101010000 |
3 | 2220120122002021210 |
4 | 1003031022011100 |
5 | 4302121211030 |
6 | 303514420120 |
7 | 36640533006 |
oct | 10315120520 |
9 | 2816562253 |
10 | 1127522640 |
11 | 5295034a2 |
12 | 275731640 |
13 | 14c79917a |
14 | a9a64a76 |
15 | 68ec0bb0 |
hex | 4334a150 |
1127522640 has 80 divisors (see below), whose sum is σ = 3501115200. Its totient is φ = 300174336.
The previous prime is 1127522609. The next prime is 1127522647. The reversal of 1127522640 is 462257211.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 1127522598 and 1127522607.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1127522647) 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 15 ways as a sum of consecutive naturals, for example, 154596 + ... + 161724.
It is an arithmetic number, because the mean of its divisors is an integer number (43763940).
Almost surely, 21127522640 is an apocalyptic number.
1127522640 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 1127522640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750557600).
1127522640 is an abundant number, since it is smaller than the sum of its proper divisors (2373592560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1127522640 is a wasteful number, since it uses less digits than its factorization.
1127522640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7804 (or 7798 counting only the distinct ones).
The product of its (nonzero) digits is 6720, while the sum is 30.
The square root of 1127522640 is about 33578.6039018897. The cubic root of 1127522640 is about 1040.8187093694.
Adding to 1127522640 its reverse (462257211), we get a palindrome (1589779851).
The spelling of 1127522640 in words is "one billion, one hundred twenty-seven million, five hundred twenty-two thousand, six hundred forty".
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