Base | Representation |
---|---|
bin | 111111100101010… |
… | …000011001110000 |
3 | 2202100020120000000 |
4 | 333211100121300 |
5 | 4141040343440 |
6 | 253503430000 |
7 | 35302031160 |
oct | 7745203160 |
9 | 2670216000 |
10 | 1066731120 |
11 | 4a8161974 |
12 | 2592b5300 |
13 | 140002b60 |
14 | a195c5a0 |
15 | 639b3730 |
hex | 3f950670 |
1066731120 has 640 divisors, whose sum is σ = 4646369280. Its totient is φ = 221709312.
The previous prime is 1066731119. The next prime is 1066731121. The reversal of 1066731120 is 211376601.
1066731120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1066731119) and next prime (1066731121).
It is a super-2 number, since 2×10667311202 = 2275830564752908800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1066731121) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15921327 + ... + 15921393.
It is an arithmetic number, because the mean of its divisors is an integer number (7259952).
Almost surely, 21066731120 is an apocalyptic number.
1066731120 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 1066731120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323184640).
1066731120 is an abundant number, since it is smaller than the sum of its proper divisors (3579638160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1066731120 is an equidigital number, since it uses as much as digits as its factorization.
1066731120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 97 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 27.
The square root of 1066731120 is about 32660.8499583217. The cubic root of 1066731120 is about 1021.7664891091.
The spelling of 1066731120 in words is "one billion, sixty-six million, seven hundred thirty-one thousand, one hundred twenty".
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