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206325 = 32527131
BaseRepresentation
bin110010010111110101
3101111000200
4302113311
523100300
64231113
71516350
oct622765
9344020
10206325
11131019
129b499
1372bb2
1455297
1541200
hex325f5

206325 has 36 divisors (see below), whose sum is σ = 425568. Its totient is φ = 93600.

The previous prime is 206303. The next prime is 206341. The reversal of 206325 is 523602.

It is not a de Polignac number, because 206325 - 27 = 206197 is a prime.

It is a Curzon number.

206325 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 206298 and 206307.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206325.

It is an unprimeable 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 35 ways as a sum of consecutive naturals, for example, 1510 + ... + 1640.

2206325 is an apocalyptic number.

206325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

206325 is an abundant number, since it is smaller than the sum of its proper divisors (219243).

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

206325 is a wasteful number, since it uses less digits than its factorization.

206325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 206325 is about 454.2301178918. The cubic root of 206325 is about 59.0904482661.

Adding to 206325 its reverse (523602), we get a palindrome (729927).

The spelling of 206325 in words is "two hundred six thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 131 175 225 315 393 525 655 917 1179 1575 1965 2751 3275 4585 5895 8253 9825 13755 22925 29475 41265 68775 206325