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286260 = 223513367
BaseRepresentation
bin1000101111000110100
3112112200020
41011320310
533130020
610045140
72301402
oct1057064
9475606
10286260
11186087
121197b0
13a03b0
1476472
1559c40
hex45e34

286260 has 48 divisors (see below), whose sum is σ = 865536. Its totient is φ = 70272.

The previous prime is 286249. The next prime is 286289. The reversal of 286260 is 62682.

286260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 286260.

It is a congruent number.

It is an unprimeable number.

286260 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (18032).

2286260 is an apocalyptic number.

286260 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 286260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432768).

286260 is an abundant number, since it is smaller than the sum of its proper divisors (579276).

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

286260 is a wasteful number, since it uses less digits than its factorization.

286260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 286260 is about 535.0327092805. The cubic root of 286260 is about 65.9052819476.

The spelling of 286260 in words is "two hundred eighty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 367 390 734 780 1101 1468 1835 2202 3670 4404 4771 5505 7340 9542 11010 14313 19084 22020 23855 28626 47710 57252 71565 95420 143130 286260