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1304132520 = 2335831271031
BaseRepresentation
bin100110110111011…
…0111101110101000
310100212221210111110
41031232313232220
510132324220040
6333224030320
744213641425
oct11556675650
93325853443
101304132520
1160a170079
123049023a0
1317a253c62
14c52b8d4c
1579759980
hex4dbb7ba8

1304132520 has 128 divisors (see below), whose sum is σ = 3994583040. Its totient is φ = 340542720.

The previous prime is 1304132513. The next prime is 1304132561. The reversal of 1304132520 is 252314031.

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, 1264405 + ... + 1265435.

It is an arithmetic number, because the mean of its divisors is an integer number (31207680).

Almost surely, 21304132520 is an apocalyptic number.

1304132520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997291520).

1304132520 is an abundant number, since it is smaller than the sum of its proper divisors (2690450520).

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

1304132520 is a wasteful number, since it uses less digits than its factorization.

1304132520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1304132520 is about 36112.7750249133. The cubic root of 1304132520 is about 1092.5481220959.

Adding to 1304132520 its reverse (252314031), we get a palindrome (1556446551).

The spelling of 1304132520 in words is "one billion, three hundred four million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 127 166 249 254 332 381 415 498 508 635 664 762 830 996 1016 1031 1245 1270 1524 1660 1905 1992 2062 2490 2540 3048 3093 3320 3810 4124 4980 5080 5155 6186 7620 8248 9960 10310 10541 12372 15240 15465 20620 21082 24744 30930 31623 41240 42164 52705 61860 63246 84328 85573 105410 123720 126492 130937 158115 171146 210820 252984 256719 261874 316230 342292 392811 421640 427865 513438 523748 632460 654685 684584 785622 855730 1026876 1047496 1264920 1283595 1309370 1571244 1711460 1964055 2053752 2567190 2618740 3142488 3422920 3928110 5134380 5237480 7856220 10268760 10867771 15712440 21735542 32603313 43471084 54338855 65206626 86942168 108677710 130413252 163016565 217355420 260826504 326033130 434710840 652066260 1304132520