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208109104 = 24717293769
BaseRepresentation
bin11000110011101…
…11111000110000
3112111121001000121
430121313320300
5411233442404
632352300024
75104620040
oct1431677060
9474531017
10208109104
11a75214a5
1259841614
13341662a8
141d8d3720
151340be54
hexc677e30

208109104 has 80 divisors (see below), whose sum is σ = 504878400. Its totient is φ = 81027072.

The previous prime is 208109101. The next prime is 208109113. The reversal of 208109104 is 401901802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (208109101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53332 + ... + 57100.

It is an arithmetic number, because the mean of its divisors is an integer number (6310980).

Almost surely, 2208109104 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 208109104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252439200).

208109104 is an abundant number, since it is smaller than the sum of its proper divisors (296769296).

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

208109104 is a wasteful number, since it uses less digits than its factorization.

208109104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 208109104 is about 14425.9871066073. The cubic root of 208109104 is about 592.6027917820.

The spelling of 208109104 in words is "two hundred eight million, one hundred nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 406 464 476 493 812 952 986 1624 1904 1972 3248 3451 3769 3944 6902 7538 7888 13804 15076 26383 27608 30152 52766 55216 60304 64073 105532 109301 128146 211064 218602 256292 422128 437204 448511 512584 765107 874408 897022 1025168 1530214 1748816 1794044 1858117 3060428 3588088 3716234 6120856 7176176 7432468 12241712 13006819 14864936 26013638 29729872 52027276 104054552 208109104