Base | Representation |
---|---|
bin | 1000110100011000000 |
3 | 112200101020 |
4 | 1012203000 |
5 | 33221320 |
6 | 10105440 |
7 | 2312310 |
oct | 1064300 |
9 | 480336 |
10 | 288960 |
11 | 188111 |
12 | 11b280 |
13 | a16a9 |
14 | 77440 |
15 | 5a940 |
hex | 468c0 |
288960 has 112 divisors (see below), whose sum is σ = 1072896. Its totient is φ = 64512.
The previous prime is 288947. The next prime is 288973. The reversal of 288960 is 69882.
It is an interprime number because it is at equal distance from previous prime (288947) and next prime (288973).
It is a tau number, because it is divible by the number of its divisors (112).
It is a nialpdrome in base 14.
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, 6699 + ... + 6741.
2288960 is an apocalyptic number.
288960 is a gapful number since it is divisible by the number (20) 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 288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536448).
288960 is an abundant number, since it is smaller than the sum of its proper divisors (783936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
288960 is a wasteful number, since it uses less digits than its factorization.
288960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 70 (or 60 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 33.
The square root of 288960 is about 537.5499976746. The cubic root of 288960 is about 66.1118397606. Note that the first 3 decimals are identical.
The spelling of 288960 in words is "two hundred eighty-eight thousand, nine hundred sixty".
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