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128419856 = 24233111257
BaseRepresentation
bin1111010011110…
…00100000010000
322221122101220222
413221320200100
5230333413411
620424252212
73116356625
oct751704020
9287571828
10128419856
1166542814
1237011068
13207b44a6
14130ac34c
15b41a4db
hex7a78810

128419856 has 40 divisors (see below), whose sum is σ = 268030464. Its totient is φ = 59431680.

The previous prime is 128419847. The next prime is 128419873. The reversal of 128419856 is 658914821.

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 7 ways as a sum of consecutive naturals, for example, 5780 + ... + 17036.

Almost surely, 2128419856 is an apocalyptic number.

128419856 is a gapful number since it is divisible by the number (16) 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 128419856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134015232).

128419856 is an abundant number, since it is smaller than the sum of its proper divisors (139610608).

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

128419856 is a wasteful number, since it uses less digits than its factorization.

128419856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319 (or 11313 counting only the distinct ones).

The product of its digits is 138240, while the sum is 44.

The square root of 128419856 is about 11332.2484970989. The cubic root of 128419856 is about 504.5188450460.

The spelling of 128419856 in words is "one hundred twenty-eight million, four hundred nineteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 1426 2852 5704 11257 11408 22514 45028 90056 180112 258911 348967 517822 697934 1035644 1395868 2071288 2791736 4142576 5583472 8026241 16052482 32104964 64209928 128419856