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1230328080 = 2432517100517
BaseRepresentation
bin100100101010101…
…0101000100010000
310011202002010211200
41021111111010100
510004430444310
6322030111200
742326421222
oct11125250420
93152063750
101230328080
11581540773
122a404b500
13167b828a7
14b9586412
157302b9c0
hex49555110

1230328080 has 120 divisors (see below), whose sum is σ = 4374945432. Its totient is φ = 308785152.

The previous prime is 1230328049. The next prime is 1230328087. The reversal of 1230328080 is 808230321.

1230328080 is a `hidden beast` number, since 1 + 2 + 303 + 280 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29289744 + 1201038336 = 5412^2 + 34656^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1230328087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38019 + ... + 62498.

Almost surely, 21230328080 is an apocalyptic number.

1230328080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230328080 is an abundant number, since it is smaller than the sum of its proper divisors (3144617352).

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

1230328080 is a wasteful number, since it uses less digits than its factorization.

1230328080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100553 (or 100544 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1230328080 is about 35076.0328429542. The cubic root of 1230328080 is about 1071.5365236752.

Subtracting from 1230328080 its product of nonzero digits (2304), we obtain a square (1230325776 = 350762).

The spelling of 1230328080 in words is "one billion, two hundred thirty million, three hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 100517 201034 301551 402068 502585 603102 804136 904653 1005170 1206204 1507755 1608272 1708789 1809306 2010340 2412408 3015510 3417578 3618612 4020680 4523265 4824816 5126367 6031020 6835156 7237224 8041360 8543945 9046530 10252734 12062040 13670312 14474448 15379101 17087890 18093060 20505468 24124080 25631835 27340624 30758202 34175780 36186120 41010936 51263670 61516404 68351560 72372240 76895505 82021872 102527340 123032808 136703120 153791010 205054680 246065616 307582020 410109360 615164040 1230328080