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286140 = 223519251
BaseRepresentation
bin1000101110110111100
3112112111210
41011312330
533124030
610044420
72301141
oct1056674
9475453
10286140
11185a88
12119710
13a031a
14763c8
1559bb0
hex45dbc

286140 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 72000.

The previous prime is 286129. The next prime is 286163. The reversal of 286140 is 41682.

It is a congruent number.

It is an unprimeable number.

286140 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2286140 is an apocalyptic number.

286140 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 286140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

286140 is an abundant number, since it is smaller than the sum of its proper divisors (560580).

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

286140 is a wasteful number, since it uses less digits than its factorization.

286140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 286140 is about 534.9205548490. The cubic root of 286140 is about 65.8960715105.

The spelling of 286140 in words is "two hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 251 285 380 502 570 753 1004 1140 1255 1506 2510 3012 3765 4769 5020 7530 9538 14307 15060 19076 23845 28614 47690 57228 71535 95380 143070 286140