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208132 = 2261853
BaseRepresentation
bin110010110100000100
3101120111121
4302310010
523130012
64243324
71524541
oct626404
9346447
10208132
11132411
12a0544
1373972
1455bc8
1541a07
hex32d04

208132 has 12 divisors (see below), whose sum is σ = 370636. Its totient is φ = 102240.

The previous prime is 208129. The next prime is 208139. The reversal of 208132 is 231802.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 198916 = 96^2 + 446^2 .

It is not an unprimeable number, because it can be changed into a prime (208139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183 + ... + 670.

2208132 is an apocalyptic number.

It is an amenable number.

208132 is a deficient number, since it is larger than the sum of its proper divisors (162504).

208132 is a wasteful number, since it uses less digits than its factorization.

208132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 208132 is about 456.2148616606. The cubic root of 208132 is about 59.2624523549.

Adding to 208132 its reverse (231802), we get a palindrome (439934).

The spelling of 208132 in words is "two hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 4 61 122 244 853 1706 3412 52033 104066 208132