Base | Representation |
---|---|
bin | 10000010010110… |
… | …110011100010000 |
3 | 201001101222210120 |
4 | 100102312130100 |
5 | 1024441031130 |
6 | 43043230240 |
7 | 6526444416 |
oct | 2022663420 |
9 | 631358716 |
10 | 273377040 |
11 | 130350242 |
12 | 77678380 |
13 | 44838c81 |
14 | 284432b6 |
15 | 19000910 |
hex | 104b6710 |
273377040 has 80 divisors (see below), whose sum is σ = 856278528. Its totient is φ = 72142848.
The previous prime is 273377033. The next prime is 273377087. The reversal of 273377040 is 40773372.
273377040 is digitally balanced in base 3, 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 (80).
It is a junction number, because it is equal to n+sod(n) for n = 273376992 and 273377010.
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 15 ways as a sum of consecutive naturals, for example, 17409 + ... + 29151.
Almost surely, 2273377040 is an apocalyptic number.
273377040 is a gapful number since it is divisible by the number (20) 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 273377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428139264).
273377040 is an abundant number, since it is smaller than the sum of its proper divisors (582901488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
273377040 is a wasteful number, since it uses less digits than its factorization.
273377040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11856 (or 11850 counting only the distinct ones).
The product of its (nonzero) digits is 24696, while the sum is 33.
The square root of 273377040 is about 16534.1174545241. The cubic root of 273377040 is about 649.0139210042.
The spelling of 273377040 in words is "two hundred seventy-three million, three hundred seventy-seven thousand, forty".
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