| Base | Representation |
|---|---|
| bin | 10010110100010… |
| … | …111000111001000 |
| 3 | 211000002000222200 |
| 4 | 102310113013020 |
| 5 | 1121310403130 |
| 6 | 51154520200 |
| 7 | 10552353633 |
| oct | 2264270710 |
| 9 | 730060880 |
| 10 | 315716040 |
| 11 | 152239152 |
| 12 | 89896060 |
| 13 | 50541333 |
| 14 | 2dd04c1a |
| 15 | 1cab5760 |
| hex | 12d171c8 |
315716040 has 96 divisors (see below), whose sum is σ = 1061494200. Its totient is φ = 81285120.
The previous prime is 315716033. The next prime is 315716047. The reversal of 315716040 is 40617513.
315716040 is a `hidden beast` number, since 3 + 1 + 57 + 1 + 604 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (315716033) and next prime (315716047).
It can be written as a sum of positive squares in 4 ways, for example, as 202037796 + 113678244 = 14214^2 + 10662^2 .
It is a junction number, because it is equal to n+sod(n) for n = 315715995 and 315716013.
It is not an unprimeable number, because it can be changed into a prime (315716047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4681 + ... + 25560.
Almost surely, 2315716040 is an apocalyptic number.
315716040 is a gapful number since it is divisible by the number (30) 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 315716040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530747100).
315716040 is an abundant number, since it is smaller than the sum of its proper divisors (745778160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
315716040 is a wasteful number, since it uses less digits than its factorization.
315716040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30287 (or 30280 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 315716040 is about 17768.4000405214. The cubic root of 315716040 is about 680.9243772237.
The spelling of 315716040 in words is "three hundred fifteen million, seven hundred sixteen thousand, forty".
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