Base | Representation |
---|---|
bin | 10101111010111110000000 |
3 | 101210221210120 |
4 | 111322332000 |
5 | 2432342220 |
6 | 323100240 |
7 | 66562551 |
oct | 25727600 |
9 | 11727716 |
10 | 5746560 |
11 | 3275526 |
12 | 1b11680 |
13 | 1262841 |
14 | a98328 |
15 | 787a40 |
hex | 57af80 |
5746560 has 128 divisors (see below), whose sum is σ = 19020960. Its totient is φ = 1474560.
The previous prime is 5746537. The next prime is 5746567. The reversal of 5746560 is 656475.
5746560 is digitally balanced in base 4, 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 (128).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5746567) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78684 + ... + 78756.
Almost surely, 25746560 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510480).
5746560 is an abundant number, since it is smaller than the sum of its proper divisors (13274400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5746560 is a wasteful number, since it uses less digits than its factorization.
5746560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 136 (or 124 counting only the distinct ones).
The product of its (nonzero) digits is 25200, while the sum is 33.
The square root of 5746560 is about 2397.1983647583. The cubic root of 5746560 is about 179.1166598016.
The spelling of 5746560 in words is "five million, seven hundred forty-six thousand, five hundred sixty".
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