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208104 = 233132329
BaseRepresentation
bin110010110011101000
3101120110120
4302303220
523124404
64243240
71524501
oct626350
9346416
10208104
11132396
12a0520
1373950
1455ba8
15419d9
hex32ce8

208104 has 64 divisors (see below), whose sum is σ = 604800. Its totient is φ = 59136.

The previous prime is 208099. The next prime is 208111. The reversal of 208104 is 401802.

208104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7162 + ... + 7190.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2208104 is an apocalyptic number.

208104 is a gapful number since it is divisible by the number (24) 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 208104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

208104 is an abundant number, since it is smaller than the sum of its proper divisors (396696).

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

208104 is a wasteful number, since it uses less digits than its factorization.

208104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

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

The square root of 208104 is about 456.1841733335. The cubic root of 208104 is about 59.2597947097.

Adding to 208104 its reverse (401802), we get a palindrome (609906).

The spelling of 208104 in words is "two hundred eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 29 39 46 52 58 69 78 87 92 104 116 138 156 174 184 232 276 299 312 348 377 552 598 667 696 754 897 1131 1196 1334 1508 1794 2001 2262 2392 2668 3016 3588 4002 4524 5336 7176 8004 8671 9048 16008 17342 26013 34684 52026 69368 104052 208104