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1316130606 = 234729311291
BaseRepresentation
bin100111001110010…
…1000111100101110
310101201112100210000
41032130220330232
510143412134411
6334333125130
744420632320
oct11634507456
93351470700
101316130606
11615a1544a
123089297a6
1317c89510b
14c6b1d610
157a829956
hex4e728f2e

1316130606 has 160 divisors (see below), whose sum is σ = 3601889280. Its totient is φ = 351086400.

The previous prime is 1316130593. The next prime is 1316130611. The reversal of 1316130606 is 6060316131.

It is a happy number.

1316130606 is a `hidden beast` number, since 13 + 16 + 1 + 30 + 606 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1316130606.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1018821 + ... + 1020111.

It is an arithmetic number, because the mean of its divisors is an integer number (22511808).

Almost surely, 21316130606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316130606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800944640).

1316130606 is an abundant number, since it is smaller than the sum of its proper divisors (2285758674).

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

1316130606 is a wasteful number, since it uses less digits than its factorization.

1316130606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1316130606 is about 36278.5143852391. The cubic root of 1316130606 is about 1095.8883989363. Note that the first 3 decimals are identical.

Adding to 1316130606 its reverse (6060316131), we get a palindrome (7376446737).

The spelling of 1316130606 in words is "one billion, three hundred sixteen million, one hundred thirty thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 31 42 54 58 62 63 81 87 93 126 162 174 186 189 203 217 261 279 378 406 434 522 558 567 609 651 783 837 899 1134 1218 1291 1302 1566 1674 1798 1827 1953 2349 2511 2582 2697 3654 3873 3906 4698 5022 5394 5481 5859 6293 7746 8091 9037 10962 11619 11718 12586 16182 16443 17577 18074 18879 23238 24273 27111 32886 34857 35154 37439 37758 40021 48546 54222 56637 69714 72819 74878 80042 81333 104571 112317 113274 120063 145638 162666 169911 209142 224634 240126 243999 262073 280147 336951 339822 360189 487998 509733 524146 560294 673902 720378 731997 786219 840441 1010853 1019466 1080567 1160609 1463994 1572438 1680882 2021706 2161134 2321218 2358657 2521323 3032559 3241701 3481827 4717314 5042646 6065118 6483402 6963654 7075971 7563969 8124263 10445481 14151942 15127938 16248526 20890962 21227913 22691907 24372789 31336443 42455826 45383814 48745578 62672886 73118367 94009329 146236734 188018658 219355101 438710202 658065303 1316130606