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104208 = 24313167
BaseRepresentation
bin11001011100010000
312021221120
4121130100
511313313
62122240
7612546
oct313420
9167846
10104208
1171325
1250380
1338580
1429d96
1520d23
hex19710

104208 has 40 divisors (see below), whose sum is σ = 291648. Its totient is φ = 31872.

The previous prime is 104207. The next prime is 104231. The reversal of 104208 is 802401.

It is not an unprimeable number, because it can be changed into a prime (104207) 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 7 ways as a sum of consecutive naturals, for example, 541 + ... + 707.

2104208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824).

104208 is an abundant number, since it is smaller than the sum of its proper divisors (187440).

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

104208 is a wasteful number, since it uses less digits than its factorization.

104208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 104208 is about 322.8126391578. The cubic root of 104208 is about 47.0580240060.

Adding to 104208 its reverse (802401), we get a palindrome (906609).

The spelling of 104208 in words is "one hundred four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 167 208 312 334 501 624 668 1002 1336 2004 2171 2672 4008 4342 6513 8016 8684 13026 17368 26052 34736 52104 104208