Base | Representation |
---|---|
bin | 100010001010001… |
… | …1111110010010000 |
3 | 2221212211012101212 |
4 | 1010110133302100 |
5 | 4321413130020 |
6 | 305423315252 |
7 | 40255512143 |
oct | 10424376220 |
9 | 2855735355 |
10 | 1146223760 |
11 | 539016970 |
12 | 27ba4bb28 |
13 | 153616316 |
14 | ac33205a |
15 | 6a966cc5 |
hex | 4451fc90 |
1146223760 has 80 divisors (see below), whose sum is σ = 3001093632. Its totient is φ = 403353600.
The previous prime is 1146223711. The next prime is 1146223763. The reversal of 1146223760 is 673226411.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (1146223763) 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 15 ways as a sum of consecutive naturals, for example, 6272 + ... + 48288.
Almost surely, 21146223760 is an apocalyptic number.
1146223760 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 1146223760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500546816).
1146223760 is an abundant number, since it is smaller than the sum of its proper divisors (1854869872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1146223760 is a wasteful number, since it uses less digits than its factorization.
1146223760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 42072 (or 42066 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 32.
The square root of 1146223760 is about 33855.9265122076. The cubic root of 1146223760 is about 1046.5415341681.
The spelling of 1146223760 in words is "one billion, one hundred forty-six million, two hundred twenty-three thousand, seven hundred sixty".
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