| Base | Representation |
|---|---|
| bin | 11111011111000… |
| … | …01101000000000 |
| 3 | 200101222112001100 |
| 4 | 33233201220000 |
| 5 | 1020103213421 |
| 6 | 42112534400 |
| 7 | 6354645432 |
| oct | 1757415000 |
| 9 | 611875040 |
| 10 | 264116736 |
| 11 | 1260a58a4 |
| 12 | 74551400 |
| 13 | 42945cc0 |
| 14 | 27112652 |
| 15 | 182c1c26 |
| hex | fbe1a00 |
264116736 has 120 divisors (see below), whose sum is σ = 821080260. Its totient is φ = 81248256.
The previous prime is 264116731. The next prime is 264116753. The reversal of 264116736 is 637611462.
It is a happy number.
264116736 is a `hidden beast` number, since 2 + 641 + 1 + 6 + 7 + 3 + 6 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 214329600 + 49787136 = 14640^2 + 7056^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 264116736.
It is not an unprimeable number, because it can be changed into a prime (264116731) 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 11 ways as a sum of consecutive naturals, for example, 57700 + ... + 62108.
Almost surely, 2264116736 is an apocalyptic number.
264116736 is a gapful number since it is divisible by the number (26) 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 264116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410540130).
264116736 is an abundant number, since it is smaller than the sum of its proper divisors (556963524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264116736 is a wasteful number, since it uses less digits than its factorization.
264116736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4446 (or 4427 counting only the distinct ones).
The product of its digits is 36288, while the sum is 36.
The square root of 264116736 is about 16251.6687143198. The cubic root of 264116736 is about 641.6014062900.
The spelling of 264116736 in words is "two hundred sixty-four million, one hundred sixteen thousand, seven hundred thirty-six".
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