Base | Representation |
---|---|
bin | 11111100011001… |
… | …01011100000000 |
3 | 200102222221122210 |
4 | 33301211130000 |
5 | 1020223003030 |
6 | 42132302120 |
7 | 6362354463 |
oct | 1761453400 |
9 | 612887583 |
10 | 264656640 |
11 | 1264344a6 |
12 | 74771940 |
13 | 42aa4981 |
14 | 272132da |
15 | 1837bbb0 |
hex | fc65700 |
264656640 has 144 divisors (see below), whose sum is σ = 866378016. Its totient is φ = 68853760.
The previous prime is 264656593. The next prime is 264656647. The reversal of 264656640 is 46656462.
It is a super-4 number, since 4×2646566404 (a number of 35 digits) contains 4444 as substring.
It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 820 × 492 × 656.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (264656647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6455020 + ... + 6455060.
It is an arithmetic number, because the mean of its divisors is an integer number (6016514).
Almost surely, 2264656640 is an apocalyptic number.
264656640 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 264656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433189008).
264656640 is an abundant number, since it is smaller than the sum of its proper divisors (601721376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264656640 is an frugal number, since it uses more digits than its factorization.
264656640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 147 (or 51 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 39.
The square root of 264656640 is about 16268.2709591401. The cubic root of 264656640 is about 642.0382931517.
The spelling of 264656640 in words is "two hundred sixty-four million, six hundred fifty-six thousand, six hundred forty".
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