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128041984 = 210717863
BaseRepresentation
bin1111010000111…
…00010000000000
322220221012120201
413220130100000
5230234320414
620412214544
73113224150
oct750342000
9286835521
10128041984
1166304924
1236a6a454
13206b14b5
1413010760
15b393574
hex7a1c400

128041984 has 44 divisors (see below), whose sum is σ = 292540864. Its totient is φ = 54872064.

The previous prime is 128041957. The next prime is 128041993. The reversal of 128041984 is 489140821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1764 + ... + 16099.

It is an arithmetic number, because the mean of its divisors is an integer number (6648656).

Almost surely, 2128041984 is an apocalyptic number.

128041984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

128041984 is an abundant number, since it is smaller than the sum of its proper divisors (164498880).

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

128041984 is an equidigital number, since it uses as much as digits as its factorization.

128041984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17890 (or 17872 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 128041984 is about 11315.5637950568. The cubic root of 128041984 is about 504.0235144820.

It can be divided in two parts, 1280 and 41984, that added together give a square (43264 = 2082).

The spelling of 128041984 in words is "one hundred twenty-eight million, forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 17863 35726 71452 125041 142904 250082 285808 500164 571616 1000328 1143232 2000656 2286464 4001312 4572928 8002624 9145856 16005248 18291712 32010496 64020992 128041984