Base | Representation |
---|---|
bin | 1111111100000… |
… | …0000000000000 |
3 | 11122210011110110 |
4 | 3333000000000 |
5 | 114103043340 |
6 | 10344431320 |
7 | 1441121253 |
oct | 377000000 |
9 | 148704413 |
10 | 66846720 |
11 | 34807a26 |
12 | 1a478540 |
13 | 10b06495 |
14 | 8c4109a |
15 | 5d06680 |
hex | 3fc0000 |
66846720 has 152 divisors (see below), whose sum is σ = 226491984. Its totient is φ = 16777216.
The previous prime is 66846709. The next prime is 66846779. The reversal of 66846720 is 2764866.
It is a nialpdrome in base 2 and base 4.
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: 544 × 480 × 256.
It is a congruent number.
It is an unprimeable number.
In principle, a polygon with 66846720 sides can be constructed with ruler and compass.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3932152 + ... + 3932168.
Almost surely, 266846720 is an apocalyptic number.
66846720 is a gapful number since it is divisible by the number (60) 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 66846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113245992).
66846720 is an abundant number, since it is smaller than the sum of its proper divisors (159645264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66846720 is an frugal number, since it uses more digits than its factorization.
66846720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 61 (or 27 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 39.
The square root of 66846720 is about 8175.9843444077. The cubic root of 66846720 is about 405.8448451446.
The spelling of 66846720 in words is "sixty-six million, eight hundred forty-six thousand, seven hundred twenty".
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