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108432940 = 225711237173
BaseRepresentation
bin1100111011010…
…00111000101100
321120000222000211
412131220320230
5210224323230
614432032204
72454444010
oct635507054
9246028024
10108432940
1156231300
1230392664
1319607005
1410588540
1597bd42a
hex6768e2c

108432940 has 144 divisors (see below), whose sum is σ = 295477056. Its totient is φ = 32693760.

The previous prime is 108432923. The next prime is 108432983. The reversal of 108432940 is 49234801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626694 + ... + 626866.

It is an arithmetic number, because the mean of its divisors is an integer number (2051924).

Almost surely, 2108432940 is an apocalyptic number.

108432940 is a gapful number since it is divisible by the number (10) 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 108432940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147738528).

108432940 is an abundant number, since it is smaller than the sum of its proper divisors (187044116).

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

108432940 is a wasteful number, since it uses less digits than its factorization.

108432940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 108432940 is about 10413.1138474522. The cubic root of 108432940 is about 476.8558092245.

The spelling of 108432940 in words is "one hundred eight million, four hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 74 77 110 121 140 148 154 173 185 220 242 259 308 346 370 385 407 484 518 605 692 740 770 814 847 865 1036 1210 1211 1295 1540 1628 1694 1730 1903 2035 2420 2422 2590 2849 3388 3460 3806 4070 4235 4477 4844 5180 5698 6055 6401 7612 8140 8470 8954 9515 11396 12110 12802 13321 14245 16940 17908 19030 20933 22385 24220 25604 26642 28490 31339 32005 38060 41866 44770 44807 53284 56980 62678 64010 66605 70411 83732 89540 89614 104665 125356 128020 133210 140822 146531 156695 179228 209330 224035 266420 281644 293062 313390 352055 418660 448070 492877 586124 626780 704110 732655 774521 896140 985754 1408220 1465310 1549042 1971508 2464385 2930620 3098084 3872605 4928770 5421647 7745210 9857540 10843294 15490420 21686588 27108235 54216470 108432940