Base | Representation |
---|---|
bin | 10010110001101… |
… | …111000110000000 |
3 | 210221210001221210 |
4 | 102301233012000 |
5 | 1121121342330 |
6 | 51132050120 |
7 | 10543456341 |
oct | 2261570600 |
9 | 727701853 |
10 | 315027840 |
11 | 151909096 |
12 | 89603940 |
13 | 5036000a |
14 | 2dba60c8 |
15 | 1c9cb8b0 |
hex | 12c6f180 |
315027840 has 128 divisors (see below), whose sum is σ = 1025809920. Its totient is φ = 82196480.
The previous prime is 315027763. The next prime is 315027907. The reversal of 315027840 is 48720513.
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 (30).
It is a junction number, because it is equal to n+sod(n) for n = 315027798 and 315027807.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88495 + ... + 91985.
It is an arithmetic number, because the mean of its divisors is an integer number (8014140).
Almost surely, 2315027840 is an apocalyptic number.
315027840 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 315027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512904960).
315027840 is an abundant number, since it is smaller than the sum of its proper divisors (710782080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
315027840 is a wasteful number, since it uses less digits than its factorization.
315027840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3560 (or 3548 counting only the distinct ones).
The product of its (nonzero) digits is 6720, while the sum is 30.
The square root of 315027840 is about 17749.0236351186. The cubic root of 315027840 is about 680.4292560762.
The spelling of 315027840 in words is "three hundred fifteen million, twenty-seven thousand, eight hundred forty".
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