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108068688 = 24337132749
BaseRepresentation
bin1100111000011…
…11111101010000
321112100110101000
412130033331100
5210131144223
614420142000
72451366030
oct634177520
9245313330
10108068688
1156002672
1230237900
131950a290
14104d18c0
15974a543
hex670ff50

108068688 has 160 divisors (see below), whose sum is σ = 381920000. Its totient is φ = 28491264.

The previous prime is 108068683. The next prime is 108068717. The reversal of 108068688 is 886860801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108068683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37938 + ... + 40686.

It is an arithmetic number, because the mean of its divisors is an integer number (2387000).

Almost surely, 2108068688 is an apocalyptic number.

108068688 is a gapful number since it is divisible by the number (18) 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 108068688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190960000).

108068688 is an abundant number, since it is smaller than the sum of its proper divisors (273851312).

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

108068688 is a wasteful number, since it uses less digits than its factorization.

108068688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 108068688 is about 10395.6090730654. The cubic root of 108068688 is about 476.3212529017.

The spelling of 108068688 in words is "one hundred eight million, sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2749 2808 3024 3276 4368 4914 5498 5616 6552 8247 9828 10996 13104 16494 19243 19656 21992 24741 32988 35737 38486 39312 43984 49482 57729 65976 71474 74223 76972 98964 107211 115458 131952 142948 148446 153944 173187 197928 214422 230916 250159 285896 296892 307888 321633 346374 395856 428844 461832 500318 519561 571792 593784 643266 692748 750477 857688 923664 964899 1000636 1039122 1187568 1286532 1385496 1500954 1715376 1929798 2001272 2078244 2251431 2573064 2770992 3001908 3859596 4002544 4156488 4502862 5146128 6003816 6754293 7719192 8312976 9005724 12007632 13508586 15438384 18011448 27017172 36022896 54034344 108068688