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286125 = 3537109
BaseRepresentation
bin1000101110110101101
3112112111020
41011312231
533124000
610044353
72301120
oct1056655
9475436
10286125
11185a74
121196b9
13a0308
14763b7
1559ba0
hex45dad

286125 has 32 divisors (see below), whose sum is σ = 549120. Its totient is φ = 129600.

The previous prime is 286103. The next prime is 286129. The reversal of 286125 is 521682.

It is not a de Polignac number, because 286125 - 26 = 286061 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 286095 and 286104.

It is a congruent number.

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

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 31 ways as a sum of consecutive naturals, for example, 2571 + ... + 2679.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2286125 is an apocalyptic number.

286125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

286125 is a deficient number, since it is larger than the sum of its proper divisors (262995).

286125 is a wasteful number, since it uses less digits than its factorization.

286125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 286125 is about 534.9065338917. The cubic root of 286125 is about 65.8949200248.

The spelling of 286125 in words is "two hundred eighty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 109 125 175 327 375 525 545 763 875 1635 2289 2625 2725 3815 8175 11445 13625 19075 40875 57225 95375 286125