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286180 = 22541349
BaseRepresentation
bin1000101110111100100
3112112120021
41011313210
533124210
610044524
72301226
oct1056744
9475507
10286180
11186014
12119744
13a034b
1476416
1559bda
hex45de4

286180 has 24 divisors (see below), whose sum is σ = 617400. Its totient is φ = 111360.

The previous prime is 286171. The next prime is 286199. The reversal of 286180 is 81682.

It can be written as a sum of positive squares in 4 ways, for example, as 7396 + 278784 = 86^2 + 528^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646 + ... + 994.

It is an arithmetic number, because the mean of its divisors is an integer number (25725).

2286180 is an apocalyptic number.

286180 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 286180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308700).

286180 is an abundant number, since it is smaller than the sum of its proper divisors (331220).

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

286180 is a wasteful number, since it uses less digits than its factorization.

286180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 286180 is about 534.9579422721. The cubic root of 286180 is about 65.8991419422.

The spelling of 286180 in words is "two hundred eighty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 349 410 698 820 1396 1745 3490 6980 14309 28618 57236 71545 143090 286180