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128380365 = 3252325393
BaseRepresentation
bin1111010011011…
…10110111001101
322221120101202100
413221232313031
5230331132430
620423345313
73116133531
oct751566715
9287511670
10128380365
1166516083
1236bb2239
132079c519
141309bbc1
15b40d960
hex7a6edcd

128380365 has 36 divisors (see below), whose sum is σ = 232664796. Its totient is φ = 65480448.

The previous prime is 128380289. The next prime is 128380381. The reversal of 128380365 is 563083821.

It can be written as a sum of positive squares in 2 ways, for example, as 90668484 + 37711881 = 9522^2 + 6141^2 .

It is not a de Polignac number, because 128380365 - 210 = 128379341 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21109 + ... + 26501.

It is an arithmetic number, because the mean of its divisors is an integer number (6462911).

Almost surely, 2128380365 is an apocalyptic number.

128380365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128380365 is a deficient number, since it is larger than the sum of its proper divisors (104284431).

128380365 is a wasteful number, since it uses less digits than its factorization.

128380365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 128380365 is about 11330.5059463380. The cubic root of 128380365 is about 504.4671240818.

The spelling of 128380365 in words is "one hundred twenty-eight million, three hundred eighty thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 529 1035 1587 2645 4761 5393 7935 16179 23805 26965 48537 80895 124039 242685 372117 620195 1116351 1860585 2852897 5581755 8558691 14264485 25676073 42793455 128380365