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108000032 = 25731103151
BaseRepresentation
bin1100110111111…
…11001100100000
321112012222012012
412123333030200
5210122000112
614414452052
72450661620
oct633771440
9245188165
10108000032
1155a66028
1230204028
13194b4c5a
14104b4880
159735022
hex66ff320

108000032 has 96 divisors (see below), whose sum is σ = 254951424. Its totient is φ = 44064000.

The previous prime is 107999999. The next prime is 108000043. The reversal of 108000032 is 230000801.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 107999980 and 108000016.

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, 715157 + ... + 715307.

It is an arithmetic number, because the mean of its divisors is an integer number (2655744).

Almost surely, 2108000032 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 108000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127475712).

108000032 is an abundant number, since it is smaller than the sum of its proper divisors (146951392).

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

108000032 is a wasteful number, since it uses less digits than its factorization.

108000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 108000032 is about 10392.3063850139. The cubic root of 108000032 is about 476.2203626246.

Adding to 108000032 its reverse (230000801), we get a palindrome (338000833).

The spelling of 108000032 in words is "one hundred eight million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 103 112 124 151 206 217 224 248 302 412 434 496 604 721 824 868 992 1057 1208 1442 1648 1736 2114 2416 2884 3193 3296 3472 4228 4681 4832 5768 6386 6944 8456 9362 11536 12772 15553 16912 18724 22351 23072 25544 31106 32767 33824 37448 44702 51088 62212 65534 74896 89404 102176 108871 124424 131068 149792 178808 217742 248848 262136 357616 435484 482143 497696 524272 715232 870968 964286 1048544 1741936 1928572 3375001 3483872 3857144 6750002 7714288 13500004 15428576 27000008 54000016 108000032