| Base | Representation |
|---|---|
| bin | 11111100010101… |
| … | …01010100110000 |
| 3 | 200102212121010100 |
| 4 | 33301111110300 |
| 5 | 1020213400030 |
| 6 | 42131032400 |
| 7 | 6361661166 |
| oct | 1761252460 |
| 9 | 612777110 |
| 10 | 264590640 |
| 11 | 126399956 |
| 12 | 7473b700 |
| 13 | 42a80912 |
| 14 | 271d7236 |
| 15 | 18367360 |
| hex | fc55530 |
264590640 has 120 divisors (see below), whose sum is σ = 893982960. Its totient is φ = 70129152.
The previous prime is 264590639. The next prime is 264590699. The reversal of 264590640 is 46095462.
264590640 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 9 + 0 + 640 = 666.
264590640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 264590595 and 264590604.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127854 + ... + 129906.
It is an arithmetic number, because the mean of its divisors is an integer number (7449858).
Almost surely, 2264590640 is an apocalyptic number.
264590640 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 264590640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446991480).
264590640 is an abundant number, since it is smaller than the sum of its proper divisors (629392320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264590640 is a wasteful number, since it uses less digits than its factorization.
264590640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2251 (or 2242 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 264590640 is about 16266.2423441925. The cubic root of 264590640 is about 641.9849182703.
The spelling of 264590640 in words is "two hundred sixty-four million, five hundred ninety thousand, six hundred forty".
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