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1317863052 = 22321117195761
BaseRepresentation
bin100111010001100…
…1111111010001100
310101211210101020200
41032203033322030
510144333104202
6334434213500
744441436222
oct11643177214
93354711220
101317863052
11616999020
12309424290
1318005082c
14c7050b12
157aa6ce1c
hex4e8cfe8c

1317863052 has 72 divisors (see below), whose sum is σ = 3847897872. Its totient is φ = 375859200.

The previous prime is 1317863023. The next prime is 1317863059. The reversal of 1317863052 is 2503687131.

1317863052 is a `hidden beast` number, since 1 + 3 + 17 + 8 + 630 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1317862998 and 1317863016.

It is not an unprimeable number, because it can be changed into a prime (1317863059) 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 23 ways as a sum of consecutive naturals, for example, 91149 + ... + 104612.

It is an arithmetic number, because the mean of its divisors is an integer number (53443026).

Almost surely, 21317863052 is an apocalyptic number.

1317863052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1317863052 is an abundant number, since it is smaller than the sum of its proper divisors (2530034820).

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

1317863052 is a wasteful number, since it uses less digits than its factorization.

1317863052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195799 (or 195794 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1317863052 is about 36302.3835581081. The cubic root of 1317863052 is about 1096.3690338707.

The spelling of 1317863052 in words is "one billion, three hundred seventeen million, eight hundred sixty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 195761 391522 587283 783044 1174566 1761849 2153371 2349132 3327937 3523698 4306742 6460113 6655874 7047396 8613484 9983811 12920226 13311748 19380339 19967622 25840452 29951433 36607307 38760678 39935244 59902866 73214614 77521356 109821921 119805732 146429228 219643842 329465763 439287684 658931526 1317863052