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286120 = 23523311
BaseRepresentation
bin1000101110110101000
3112112111001
41011312220
533123440
610044344
72301112
oct1056650
9475431
10286120
11185a6a
121196b4
13a0303
14763b2
1559b9a
hex45da8

286120 has 32 divisors (see below), whose sum is σ = 673920. Its totient is φ = 109120.

The previous prime is 286103. The next prime is 286129. The reversal of 286120 is 21682.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (286129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765 + ... + 1075.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2286120 is an apocalyptic number.

286120 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 286120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336960).

286120 is an abundant number, since it is smaller than the sum of its proper divisors (387800).

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

286120 is a wasteful number, since it uses less digits than its factorization.

286120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 286120 is about 534.9018601575. The cubic root of 286120 is about 65.8945361873.

It can be divided in two parts, 286 and 120, that added together give a triangular number (406 = T28).

The spelling of 286120 in words is "two hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 311 460 622 920 1244 1555 2488 3110 6220 7153 12440 14306 28612 35765 57224 71530 143060 286120