| Base | Representation |
|---|---|
| bin | 11111100000011… |
| … | …10011001011000 |
| 3 | 200102022211121100 |
| 4 | 33300032121120 |
| 5 | 1020130100440 |
| 6 | 42120511400 |
| 7 | 6356341200 |
| oct | 1760163130 |
| 9 | 612284540 |
| 10 | 264300120 |
| 11 | 126210657 |
| 12 | 7461b560 |
| 13 | 429ab606 |
| 14 | 2715d400 |
| 15 | 1830b230 |
| hex | fc0e658 |
264300120 has 144 divisors (see below), whose sum is σ = 999282960. Its totient is φ = 60407424.
The previous prime is 264300097. The next prime is 264300149. The reversal of 264300120 is 21003462.
It is a happy number.
264300120 is a `hidden beast` number, since 2 + 643 + 0 + 0 + 1 + 20 = 666.
264300120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 264300093 and 264300102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10149 + ... + 25131.
It is an arithmetic number, because the mean of its divisors is an integer number (6939465).
Almost surely, 2264300120 is an apocalyptic number.
264300120 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 264300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499641480).
264300120 is an abundant number, since it is smaller than the sum of its proper divisors (734982840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264300120 is a wasteful number, since it uses less digits than its factorization.
264300120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15014 (or 15000 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 264300120 is about 16257.3097405444. The cubic root of 264300120 is about 641.7498661631.
Adding to 264300120 its reverse (21003462), we get a palindrome (285303582).
The spelling of 264300120 in words is "two hundred sixty-four million, three hundred thousand, one hundred twenty".
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