| Base | Representation |
|---|---|
| bin | 10010110011000… |
| … | …111101111110000 |
| 3 | 210222110112001200 |
| 4 | 102303013233300 |
| 5 | 1121220002320 |
| 6 | 51143531200 |
| 7 | 10546531113 |
| oct | 2263075760 |
| 9 | 728415050 |
| 10 | 315390960 |
| 11 | 152036995 |
| 12 | 89759b00 |
| 13 | 50459391 |
| 14 | 2dc5c57a |
| 15 | 1ca4e290 |
| hex | 12cc7bf0 |
315390960 has 120 divisors (see below), whose sum is σ = 1087906560. Its totient is φ = 81824256.
The previous prime is 315390949. The next prime is 315390967. The reversal of 315390960 is 69093513.
315390960 is a `hidden beast` number, since 31 + 539 + 0 + 96 + 0 = 666.
315390960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (315390967) 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, 20721 + ... + 32559.
It is an arithmetic number, because the mean of its divisors is an integer number (9065888).
Almost surely, 2315390960 is an apocalyptic number.
315390960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
315390960 is the 8880-th decagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 315390960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543953280).
315390960 is an abundant number, since it is smaller than the sum of its proper divisors (772515600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
315390960 is a wasteful number, since it uses less digits than its factorization.
315390960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11895 (or 11886 counting only the distinct ones).
The product of its (nonzero) digits is 21870, while the sum is 36.
The square root of 315390960 is about 17759.2499841632. The cubic root of 315390960 is about 680.6905902280.
The spelling of 315390960 in words is "three hundred fifteen million, three hundred ninety thousand, nine hundred sixty".
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