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1328905130 = 257176118307
BaseRepresentation
bin100111100110101…
…0111101110101010
310102121120101010112
41033031113232222
510210144431010
6335511014322
744634335660
oct11715275652
93377511115
101328905130
11622150103
1231106a3a2
131824187c7
14c86c6c30
157b9eea05
hex4f357baa

1328905130 has 64 divisors (see below), whose sum is σ = 2942168832. Its totient is φ = 421770240.

The previous prime is 1328905121. The next prime is 1328905157. The reversal of 1328905130 is 315098231.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63437 + ... + 81743.

It is an arithmetic number, because the mean of its divisors is an integer number (45971388).

Almost surely, 21328905130 is an apocalyptic number.

1328905130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1328905130 is an abundant number, since it is smaller than the sum of its proper divisors (1613263702).

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

1328905130 is a wasteful number, since it uses less digits than its factorization.

1328905130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18399.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1328905130 is about 36454.1510667852. The cubic root of 1328905130 is about 1099.4225977947.

The spelling of 1328905130 in words is "one billion, three hundred twenty-eight million, nine hundred five thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 61 70 85 119 122 170 238 305 427 595 610 854 1037 1190 2074 2135 4270 5185 7259 10370 14518 18307 36295 36614 72590 91535 128149 183070 256298 311219 622438 640745 1116727 1281490 1556095 2178533 2233454 3112190 4357066 5583635 7817089 10892665 11167270 15634178 18984359 21785330 37968718 39085445 78170890 94921795 132890513 189843590 265781026 664452565 1328905130