Base | Representation |
---|---|
bin | 11110000110010… |
… | …011001000000000 |
3 | 1022012012000102200 |
4 | 132012103020000 |
5 | 2013232431210 |
6 | 122035113200 |
7 | 15341103660 |
oct | 3606231000 |
9 | 1265160380 |
10 | 504967680 |
11 | 23a04a768 |
12 | 121142800 |
13 | 80804259 |
14 | 4b0ca1a0 |
15 | 2e4ea0c0 |
hex | 1e193200 |
504967680 has 480 divisors, whose sum is σ = 2083580928. Its totient is φ = 110592000.
The previous prime is 504967669. The next prime is 504967681. The reversal of 504967680 is 86769405.
504967680 is a `hidden beast` number, since 504 + 9 + 67 + 6 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (504967681) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999630 + ... + 4999730.
Almost surely, 2504967680 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 504967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041790464).
504967680 is an abundant number, since it is smaller than the sum of its proper divisors (1578613248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
504967680 is a wasteful number, since it uses less digits than its factorization.
504967680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 168 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 504967680 is about 22471.4859321764. The cubic root of 504967680 is about 796.3204352848.
The spelling of 504967680 in words is "five hundred four million, nine hundred sixty-seven thousand, six hundred eighty".
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