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108682938 = 233713171301
BaseRepresentation
bin1100111101001…
…01111010111010
321120111122222000
412132211322322
5210310323223
614441241430
72456534610
oct636457272
9246448860
10108682938
1156392111
1230493276
1319693a40
14106116b0
15981c543
hex67a5eba

108682938 has 128 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 26956800.

The previous prime is 108682901. The next prime is 108682943. The reversal of 108682938 is 839286801.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 108682893 and 108682902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82888 + ... + 84188.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2108682938 is an apocalyptic number.

108682938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108682938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

108682938 is an abundant number, since it is smaller than the sum of its proper divisors (206296902).

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

108682938 is a wasteful number, since it uses less digits than its factorization.

108682938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 108682938 is about 10425.1109346616. The cubic root of 108682938 is about 477.2220002190. Note that the first 3 decimals are identical.

The spelling of 108682938 in words is "one hundred eight million, six hundred eighty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 91 102 117 119 126 153 182 189 221 234 238 273 306 351 357 378 442 459 546 663 702 714 819 918 1071 1301 1326 1547 1638 1989 2142 2457 2602 3094 3213 3903 3978 4641 4914 5967 6426 7806 9107 9282 11709 11934 13923 16913 18214 22117 23418 27321 27846 33826 35127 41769 44234 50739 54642 66351 70254 81963 83538 101478 118391 132702 152217 154819 163926 199053 236782 245889 287521 304434 309638 355173 398106 456651 464457 491778 575042 597159 710346 862563 913302 928914 1065519 1194318 1393371 1725126 2012647 2131038 2587689 2786742 3196557 4025294 4180113 5175378 6037941 6393114 7763067 8360226 12075882 15526134 18113823 36227646 54341469 108682938