Base | Representation |
---|---|
bin | 1100110011110… |
… | …0000110000000 |
3 | 10202002102211000 |
4 | 3030330012000 |
5 | 102223123040 |
6 | 5155252000 |
7 | 1221433224 |
oct | 314740600 |
9 | 122072730 |
10 | 53723520 |
11 | 28364304 |
12 | 15baa000 |
13 | b190186 |
14 | 71c6784 |
15 | 4ab3130 |
hex | 333c180 |
53723520 has 128 divisors (see below), whose sum is σ = 190332000. Its totient is φ = 14321664.
The previous prime is 53723513. The next prime is 53723521. The reversal of 53723520 is 2532735.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53723521) 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, 15726 + ... + 18834.
Almost surely, 253723520 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 53723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95166000).
53723520 is an abundant number, since it is smaller than the sum of its proper divisors (136608480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53723520 is a wasteful number, since it uses less digits than its factorization.
53723520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3137 (or 3119 counting only the distinct ones).
The product of its (nonzero) digits is 6300, while the sum is 27.
The square root of 53723520 is about 7329.6330058196. The cubic root of 53723520 is about 377.3301313128.
The spelling of 53723520 in words is "fifty-three million, seven hundred twenty-three thousand, five hundred twenty".
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