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287130 = 23517563
BaseRepresentation
bin1000110000110011010
3112120212110
41012012122
533142010
610053150
72304054
oct1060632
9476773
10287130
111867a8
1211a1b6
13a08cc
14768d4
155a120
hex4619a

287130 has 32 divisors (see below), whose sum is σ = 730944. Its totient is φ = 71936.

The previous prime is 287117. The next prime is 287137. The reversal of 287130 is 31782.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 287097 and 287106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287137) 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, 229 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (22842).

2287130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365472).

287130 is an abundant number, since it is smaller than the sum of its proper divisors (443814).

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

287130 is a wasteful number, since it uses less digits than its factorization.

287130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 287130 is about 535.8451268790. The cubic root of 287130 is about 65.9719807604.

The spelling of 287130 in words is "two hundred eighty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 563 1126 1689 2815 3378 5630 8445 9571 16890 19142 28713 47855 57426 95710 143565 287130