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1318216460 = 22511291071931
BaseRepresentation
bin100111010010010…
…0110001100001100
310101212110100000212
41032210212030030
510144430411320
6334445541552
744444440451
oct11644461414
93355410025
101318216460
1161710a5a0
123095748b8
13180145652
14c7103828
157aadc9c5
hex4e92630c

1318216460 has 96 divisors (see below), whose sum is σ = 3154878720. Its totient is φ = 458259200.

The previous prime is 1318216453. The next prime is 1318216463. The reversal of 1318216460 is 646128131.

It is not an unprimeable number, because it can be changed into a prime (1318216463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681695 + ... + 683625.

It is an arithmetic number, because the mean of its divisors is an integer number (32863320).

Almost surely, 21318216460 is an apocalyptic number.

1318216460 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 1318216460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577439360).

1318216460 is an abundant number, since it is smaller than the sum of its proper divisors (1836662260).

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

1318216460 is a wasteful number, since it uses less digits than its factorization.

1318216460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1318216460 is about 36307.2507909921. The cubic root of 1318216460 is about 1096.4670286148.

The spelling of 1318216460 in words is "one billion, three hundred eighteen million, two hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 107 110 116 145 214 220 290 319 428 535 580 638 1070 1177 1276 1595 1931 2140 2354 3103 3190 3862 4708 5885 6206 6380 7724 9655 11770 12412 15515 19310 21241 23540 31030 34133 38620 42482 55999 62060 68266 84964 106205 111998 136532 170665 206617 212410 223996 279995 341330 413234 424820 559990 615989 682660 826468 1033085 1119980 1231978 2066170 2272787 2463956 3079945 4132340 4545574 5991893 6159890 9091148 11363935 11983786 12319780 22727870 23967572 29959465 45455740 59918930 65910823 119837860 131821646 263643292 329554115 659108230 1318216460