Base | Representation |
---|---|
bin | 111111111111111… |
… | …100000000000000 |
3 | 2202211101220101220 |
4 | 333333330000000 |
5 | 4144333203230 |
6 | 254313355040 |
7 | 35415341604 |
oct | 7777740000 |
9 | 2684356356 |
10 | 1073725440 |
11 | 5010a98a7 |
12 | 25b708a80 |
13 | 1415b15c8 |
14 | a285d504 |
15 | 643e5d10 |
hex | 3fffc000 |
1073725440 has 240 divisors, whose sum is σ = 3652078752. Its totient is φ = 268435456.
The previous prime is 1073725427. The next prime is 1073725469. The reversal of 1073725440 is 445273701.
It is a tau number, because it is divible by the number of its divisors (240).
It is a nialpdrome in base 2, base 4 and base 8.
It is a zygodrome in base 2 and base 4.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2056 × 2040 × 256.
It is a congruent number.
It is an unprimeable number.
In principle, a polygon with 1073725440 sides can be constructed with ruler and compass.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4177792 + ... + 4178048.
Almost surely, 21073725440 is an apocalyptic number.
1073725440 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 1073725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826039376).
1073725440 is an abundant number, since it is smaller than the sum of its proper divisors (2578353312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1073725440 is an equidigital number, since it uses as much as digits as its factorization.
1073725440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 310 (or 284 counting only the distinct ones).
The product of its (nonzero) digits is 23520, while the sum is 33.
The square root of 1073725440 is about 32767.7499990463. The cubic root of 1073725440 is about 1023.9947916402.
The spelling of 1073725440 in words is "one billion, seventy-three million, seven hundred twenty-five thousand, four hundred forty".
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