Base | Representation |
---|---|
bin | 111111100111001… |
… | …010001110000000 |
3 | 2202101011220110000 |
4 | 333213022032000 |
5 | 4141202330310 |
6 | 253522240000 |
7 | 35306206650 |
oct | 7747121600 |
9 | 2671156400 |
10 | 1067230080 |
11 | 4a8472834 |
12 | 2594b6000 |
13 | 140148cb7 |
14 | a1a4c360 |
15 | 63a614c0 |
hex | 3f9ca380 |
1067230080 has 640 divisors, whose sum is σ = 4638617280. Its totient is φ = 228261888.
The previous prime is 1067230079. The next prime is 1067230111. The reversal of 1067230080 is 800327601.
1067230080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×10672300802 = 2277960087313612800, 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 an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168874 + ... + 6169046.
Almost surely, 21067230080 is an apocalyptic number.
1067230080 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 1067230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319308640).
1067230080 is an abundant number, since it is smaller than the sum of its proper divisors (3571387200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1067230080 is a wasteful number, since it uses less digits than its factorization.
1067230080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 228 (or 207 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 1067230080 is about 32668.4875682974. The cubic root of 1067230080 is about 1021.9257735903.
Adding to 1067230080 its reverse (800327601), we get a palindrome (1867557681).
The spelling of 1067230080 in words is "one billion, sixty-seven million, two hundred thirty thousand, eighty".
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