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287000 = 2353741
BaseRepresentation
bin1000110000100011000
3112120200122
41012010120
533141000
610052412
72303510
oct1060430
9476618
10287000
1118669a
1211a108
13a082c
1476840
155a085
hex46118

287000 has 64 divisors (see below), whose sum is σ = 786240. Its totient is φ = 96000.

The previous prime is 286999. The next prime is 287003. The reversal of 287000 is 782.

It is a self number, because there is not a number n which added to its sum of digits gives 287000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6980 + ... + 7020.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2287000 is an apocalyptic number.

287000 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 287000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

287000 is an abundant number, since it is smaller than the sum of its proper divisors (499240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

287000 is a wasteful number, since it uses less digits than its factorization.

287000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 287000 is about 535.7238094392. The cubic root of 287000 is about 65.9620228410.

Adding to 287000 its reverse (782), we get a palindrome (287782).

The spelling of 287000 in words is "two hundred eighty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 125 140 164 175 200 205 250 280 287 328 350 410 500 574 700 820 875 1000 1025 1148 1400 1435 1640 1750 2050 2296 2870 3500 4100 5125 5740 7000 7175 8200 10250 11480 14350 20500 28700 35875 41000 57400 71750 143500 287000