| Base | Representation |
|---|---|
| bin | 11111100001010… |
| … | …00001001100000 |
| 3 | 200102112012022000 |
| 4 | 33300220021200 |
| 5 | 1020141434400 |
| 6 | 42123044000 |
| 7 | 6360260544 |
| oct | 1760501140 |
| 9 | 612465260 |
| 10 | 264405600 |
| 11 | 126282928 |
| 12 | 74670600 |
| 13 | 42a17624 |
| 14 | 27189a24 |
| 15 | 1832c600 |
| hex | fc28260 |
264405600 has 144 divisors (see below), whose sum is σ = 956345040. Its totient is φ = 70502400.
The previous prime is 264405599. The next prime is 264405601. The reversal of 264405600 is 6504462.
It is a happy number.
264405600 is a `hidden beast` number, since 2 + 64 + 40 + 560 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (264405599) and next prime (264405601).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×2644056002 = 139820642622720000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (264405601) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15480 + ... + 27720.
It is an arithmetic number, because the mean of its divisors is an integer number (6641285).
Almost surely, 2264405600 is an apocalyptic number.
264405600 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 264405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478172520).
264405600 is an abundant number, since it is smaller than the sum of its proper divisors (691939440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264405600 is a wasteful number, since it uses less digits than its factorization.
264405600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12270 (or 12251 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 264405600 is about 16260.5534961145. The cubic root of 264405600 is about 641.8352271696.
The spelling of 264405600 in words is "two hundred sixty-four million, four hundred five thousand, six hundred".
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