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128109984 = 2533736067
BaseRepresentation
bin1111010001011…
…00110110100000
322221001122212020
413220230312200
5230244004414
620413501440
73113626332
oct750546640
9287048766
10128109984
1166350a22
1236aa1880
1320706432
141302b452
15b3a87a9
hex7a2cda0

128109984 has 48 divisors (see below), whose sum is σ = 345387168. Its totient is φ = 41548032.

The previous prime is 128109979. The next prime is 128109991. The reversal of 128109984 is 489901821.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14482 + ... + 21585.

It is an arithmetic number, because the mean of its divisors is an integer number (7195566).

Almost surely, 2128109984 is an apocalyptic number.

It is an amenable number.

128109984 is an abundant number, since it is smaller than the sum of its proper divisors (217277184).

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

128109984 is a wasteful number, since it uses less digits than its factorization.

128109984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36117 (or 36109 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 128109984 is about 11318.5681073182. The cubic root of 128109984 is about 504.1127235898.

The spelling of 128109984 in words is "one hundred twenty-eight million, one hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 36067 72134 108201 144268 216402 288536 432804 577072 865608 1154144 1334479 1731216 2668958 3462432 4003437 5337916 8006874 10675832 16013748 21351664 32027496 42703328 64054992 128109984