| Base | Representation |
|---|---|
| bin | 11110000101010… |
| … | …001001101010000 |
| 3 | 1022011200022001200 |
| 4 | 132011101031100 |
| 5 | 2013200311210 |
| 6 | 122025231200 |
| 7 | 15335600544 |
| oct | 3605211520 |
| 9 | 1264608050 |
| 10 | 504697680 |
| 11 | 239985923 |
| 12 | 121032500 |
| 13 | 8073b3a6 |
| 14 | 4b059a24 |
| 15 | 2e4950c0 |
| hex | 1e151350 |
504697680 has 120 divisors (see below), whose sum is σ = 1702900680. Its totient is φ = 133954560.
The previous prime is 504697679. The next prime is 504697681. The reversal of 504697680 is 86796405.
504697680 is a `hidden beast` number, since 504 + 69 + 7 + 6 + 80 = 666.
It is an interprime number because it is at equal distance from previous prime (504697679) and next prime (504697681).
It can be written as a sum of positive squares in 4 ways, for example, as 292820544 + 211877136 = 17112^2 + 14556^2 .
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 (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (504697681) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163350 + ... + 166410.
It is an arithmetic number, because the mean of its divisors is an integer number (14190839).
Almost surely, 2504697680 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 504697680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851450340).
504697680 is an abundant number, since it is smaller than the sum of its proper divisors (1198203000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
504697680 is a wasteful number, since it uses less digits than its factorization.
504697680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3309 (or 3300 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 504697680 is about 22465.4775155126. The cubic root of 504697680 is about 796.1784824048.
The spelling of 504697680 in words is "five hundred four million, six hundred ninety-seven thousand, six hundred eighty".
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