| Base | Representation |
|---|---|
| bin | 1001101101001100… |
| … | …0011111101100000 |
| 3 | 20201120122100200000 |
| 4 | 2123103003331200 |
| 5 | 20313444343230 |
| 6 | 1110312100000 |
| 7 | 121365043104 |
| oct | 23323037540 |
| 9 | 6646570600 |
| 10 | 2605465440 |
| 11 | 1117798826 |
| 12 | 608694600 |
| 13 | 326a37836 |
| 14 | 1aa065904 |
| 15 | 103b0eb60 |
| hex | 9b4c3f60 |
2605465440 has 288 divisors, whose sum is σ = 9708491520. Its totient is φ = 658036224.
The previous prime is 2605465399. The next prime is 2605465483. The reversal of 2605465440 is 445645062.
2605465440 is a `hidden beast` number, since 2 + 60 + 54 + 6 + 544 + 0 = 666.
2605465440 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 (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2605465395 and 2605465404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736957 + ... + 740483.
It is an arithmetic number, because the mean of its divisors is an integer number (33710040).
Almost surely, 22605465440 is an apocalyptic number.
2605465440 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 2605465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854245760).
2605465440 is an abundant number, since it is smaller than the sum of its proper divisors (7103026080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2605465440 is a wasteful number, since it uses less digits than its factorization.
2605465440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3576 (or 3556 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 36.
The square root of 2605465440 is about 51043.7600495888. The cubic root of 2605465440 is about 1376.0316999638.
The spelling of 2605465440 in words is "two billion, six hundred five million, four hundred sixty-five thousand, four hundred forty".
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