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128680008 = 23319319103
BaseRepresentation
bin1111010101110…
…00000001001000
322222010121210020
413222320001020
5230420230013
620434020440
73121522242
oct752700110
9288117706
10128680008
1166700216
1237117720
1320875a22
1413139092
15b46c623
hex7ab8048

128680008 has 64 divisors (see below), whose sum is σ = 349593600. Its totient is φ = 39320640.

The previous prime is 128679973. The next prime is 128680051. The reversal of 128680008 is 800086821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9585 + ... + 18687.

It is an arithmetic number, because the mean of its divisors is an integer number (5462400).

Almost surely, 2128680008 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 128680008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174796800).

128680008 is an abundant number, since it is smaller than the sum of its proper divisors (220913592).

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

128680008 is a wasteful number, since it uses less digits than its factorization.

128680008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 128680008 is about 11343.7210826078. The cubic root of 128680008 is about 504.8592987754.

The spelling of 128680008 in words is "one hundred twenty-eight million, six hundred eighty thousand, eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 7068 9103 14136 18206 27309 36412 54618 72824 109236 172957 218472 282193 345914 518871 564386 691828 846579 1037742 1128772 1383656 1693158 2075484 2257544 3386316 4150968 5361667 6772632 10723334 16085001 21446668 32170002 42893336 64340004 128680008