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128785914 = 232172191303
BaseRepresentation
bin1111010110100…
…01110111111010
322222100000001200
413223101313322
5230432122124
620440155030
73122443065
oct753216772
9288300050
10128785914
1166772844
1237168a76
13208b1caa
14131658dc
15b48dbc9
hex7ad1dfa

128785914 has 72 divisors (see below), whose sum is σ = 312255840. Its totient is φ = 38247552.

The previous prime is 128785913. The next prime is 128785957. The reversal of 128785914 is 419587821.

Its product of digits (161280) is a multiple of the sum of its prime divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 128785914.

It is not an unprimeable number, because it can be changed into a prime (128785913) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98187 + ... + 99489.

Almost surely, 2128785914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128785914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156127920).

128785914 is an abundant number, since it is smaller than the sum of its proper divisors (183469926).

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

128785914 is a wasteful number, since it uses less digits than its factorization.

128785914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1344 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 128785914 is about 11348.3881674888. The cubic root of 128785914 is about 504.9977636080.

The spelling of 128785914 in words is "one hundred twenty-eight million, seven hundred eighty-five thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 289 306 323 342 578 646 867 969 1303 1734 1938 2601 2606 2907 3909 5202 5491 5814 7818 10982 11727 16473 22151 23454 24757 32946 44302 49419 49514 66453 74271 98838 132906 148542 199359 222813 376567 398718 420869 445626 753134 841738 1129701 1262607 2259402 2525214 3389103 3787821 6778206 7154773 7575642 14309546 21464319 42928638 64392957 128785914