Base | Representation |
---|---|
bin | 1000110000101000000 |
3 | 112120202010 |
4 | 1012011000 |
5 | 33141130 |
6 | 10052520 |
7 | 2303565 |
oct | 1060500 |
9 | 476663 |
10 | 287040 |
11 | 186726 |
12 | 11a140 |
13 | a0860 |
14 | 7686c |
15 | 5a0b0 |
hex | 46140 |
287040 has 112 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 67584.
The previous prime is 287003. The next prime is 287047. The reversal of 287040 is 40782.
It is a happy number.
287040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an Ulam number.
It is a junction number, because it is equal to n+sod(n) for n = 286998 and 287016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (287047) by changing a digit.
287040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12469 + ... + 12491.
It is an arithmetic number, because the mean of its divisors is an integer number (9144).
2287040 is an apocalyptic number.
287040 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 287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).
287040 is an abundant number, since it is smaller than the sum of its proper divisors (737088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
287040 is a wasteful number, since it uses less digits than its factorization.
287040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56 (or 46 counting only the distinct ones).
The product of its (nonzero) digits is 448, while the sum is 21.
The square root of 287040 is about 535.7611408081. The cubic root of 287040 is about 65.9650871364.
The spelling of 287040 in words is "two hundred eighty-seven thousand, forty".
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