Search a number
-
+
1328082075 = 345217173223
BaseRepresentation
bin100111100101000…
…1110110010011011
310102120000120010000
41033022032302123
510204442111300
6335441224043
744624340255
oct11712166233
93376016100
101328082075
116217387a1
12310932023
131821baca8
14c8550cd5
157b8dac00
hex4f28ec9b

1328082075 has 120 divisors (see below), whose sum is σ = 2631581568. Its totient is φ = 659819520.

The previous prime is 1328082073. The next prime is 1328082079. The reversal of 1328082075 is 5702808231.

It is not a de Polignac number, because 1328082075 - 21 = 1328082073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1328082073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5955414 + ... + 5955636.

Almost surely, 21328082075 is an apocalyptic number.

1328082075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1328082075 is a deficient number, since it is larger than the sum of its proper divisors (1303499493).

1328082075 is a wasteful number, since it uses less digits than its factorization.

1328082075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1328082075 is about 36442.8604118831. The cubic root of 1328082075 is about 1099.1955757840.

The spelling of 1328082075 in words is "one billion, three hundred twenty-eight million, eighty-two thousand, seventy-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 173 223 225 255 405 425 459 519 669 675 765 865 1115 1275 1377 1557 2007 2025 2295 2595 2941 3345 3791 3825 4325 4671 5575 6021 6885 7785 8823 10035 11373 11475 12975 14013 14705 16725 18063 18955 23355 26469 30105 34119 34425 38579 38925 44115 50175 56865 70065 73525 79407 90315 94775 102357 115737 116775 132345 150525 170595 192895 220575 238221 284325 307071 347211 350325 397035 451575 511785 578685 655843 661725 852975 964475 1041633 1191105 1535355 1736055 1967529 1985175 2558925 2893425 3124899 3279215 5208165 5902587 5955525 7676775 8680275 9837645 15624495 16396075 17707761 26040825 29512935 49188225 53123283 78122475 88538805 147564675 265616415 442694025 1328082075