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1328083155 = 33576123039
BaseRepresentation
bin100111100101000…
…1111000011010011
310102120000121121000
41033022033003103
510204442130110
6335441233043
744624343360
oct11712170323
93376017530
101328083155
11621739593
12310932783
131821bb629
14c8551467
157b8db1c0
hex4f28f0d3

1328083155 has 64 divisors (see below), whose sum is σ = 2742681600. Its totient is φ = 597144960.

The previous prime is 1328083139. The next prime is 1328083171. The reversal of 1328083155 is 5513808231.

It is an interprime number because it is at equal distance from previous prime (1328083139) and next prime (1328083171).

It is not a de Polignac number, because 1328083155 - 24 = 1328083139 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46126 + ... + 69164.

It is an arithmetic number, because the mean of its divisors is an integer number (42854400).

Almost surely, 21328083155 is an apocalyptic number.

1328083155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1328083155 is an abundant number, since it is smaller than the sum of its proper divisors (1414598445).

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

1328083155 is a wasteful number, since it uses less digits than its factorization.

1328083155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23121 (or 23115 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1328083155 is about 36442.8752295973. The cubic root of 1328083155 is about 1099.1958737403.

The spelling of 1328083155 in words is "one billion, three hundred twenty-eight million, eighty-three thousand, one hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 61 63 105 135 183 189 305 315 427 549 915 945 1281 1647 2135 2745 3843 6405 8235 11529 19215 23039 57645 69117 115195 161273 207351 345585 483819 622053 806365 1036755 1405379 1451457 2419095 3110265 4216137 4354371 7026895 7257285 9837653 12648411 21080685 21771855 29512959 37945233 49188265 63242055 88538877 147564795 189726165 265616631 442694385 1328083155