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128704433 = 11213174813
BaseRepresentation
bin1111010101111…
…01111110110001
322222011212021212
413222331332301
5230422020213
620434325505
73121653404
oct752757661
9288155255
10128704433
1166717600
1237129895
1320883b90
1413143d3b
15b4749a8
hex7abdfb1

128704433 has 24 divisors (see below), whose sum is σ = 161346024. Its totient is φ = 101629440.

The previous prime is 128704427. The next prime is 128704489. The reversal of 128704433 is 334407821.

It can be written as a sum of positive squares in 4 ways, for example, as 26956864 + 101747569 = 5192^2 + 10087^2 .

It is not a de Polignac number, because 128704433 - 26 = 128704369 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 128704433.

It is not an unprimeable number, because it can be changed into a prime (128704493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24335 + ... + 29147.

It is an arithmetic number, because the mean of its divisors is an integer number (6722751).

Almost surely, 2128704433 is an apocalyptic number.

128704433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128704433 is a deficient number, since it is larger than the sum of its proper divisors (32641591).

128704433 is a wasteful number, since it uses less digits than its factorization.

128704433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 128704433 is about 11344.7976182918. The cubic root of 128704433 is about 504.8912395263.

The spelling of 128704433 in words is "one hundred twenty-eight million, seven hundred four thousand, four hundred thirty-three".

Divisors: 1 11 13 17 121 143 187 221 1573 2057 2431 4813 26741 52943 62569 81821 582373 688259 900031 1063673 7570849 9900341 11700403 128704433