Base | Representation |
---|---|
bin | 100001101100000… |
… | …1111010100000000 |
3 | 2220210002200012200 |
4 | 1003120033110000 |
5 | 4303342141043 |
6 | 304100553200 |
7 | 40004322300 |
oct | 10330172400 |
9 | 2823080180 |
10 | 1130427648 |
11 | 530108029 |
12 | 2766b2800 |
13 | 1502754cc |
14 | aa1bd600 |
15 | 693967d3 |
hex | 4360f500 |
1130427648 has 648 divisors, whose sum is σ = 4362059520. Its totient is φ = 278691840.
The previous prime is 1130427637. The next prime is 1130427673. The reversal of 1130427648 is 8467240311.
1130427648 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 2 + 7 + 648 = 666.
It is a super-3 number, since 3×11304276483 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 71 ways as a sum of consecutive naturals, for example, 36465393 + ... + 36465423.
Almost surely, 21130427648 is an apocalyptic number.
1130427648 is a gapful number since it is divisible by the number (18) 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 1130427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181029760).
1130427648 is an abundant number, since it is smaller than the sum of its proper divisors (3231631872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1130427648 is a wasteful number, since it uses less digits than its factorization.
1130427648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 103 (or 79 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 1130427648 is about 33621.8329066100. The cubic root of 1130427648 is about 1041.7118159531.
Adding to 1130427648 its reverse (8467240311), we get a palindrome (9597667959).
The spelling of 1130427648 in words is "one billion, one hundred thirty million, four hundred twenty-seven thousand, six hundred forty-eight".
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