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1318108660 = 22511219109263
BaseRepresentation
bin100111010010000…
…1011110111110100
310101212020212011021
41032210023313310
510144413434120
6334443350524
744443511251
oct11644136764
93355225137
101318108660
11617046600
12309522444
1318010856b
14c70b6428
157aabaaaa
hex4e90bdf4

1318108660 has 144 divisors (see below), whose sum is σ = 3244348800. Its totient is φ = 448208640.

The previous prime is 1318108643. The next prime is 1318108669. The reversal of 1318108660 is 668018131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318108669) 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 47 ways as a sum of consecutive naturals, for example, 5011689 + ... + 5011951.

It is an arithmetic number, because the mean of its divisors is an integer number (22530200).

Almost surely, 21318108660 is an apocalyptic number.

1318108660 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 1318108660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622174400).

1318108660 is an abundant number, since it is smaller than the sum of its proper divisors (1926240140).

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

1318108660 is a wasteful number, since it uses less digits than its factorization.

1318108660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1318108660 is about 36305.7662086892. The cubic root of 1318108660 is about 1096.4371391463.

The spelling of 1318108660 in words is "one billion, three hundred eighteen million, one hundred eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 109 110 121 190 209 218 220 242 263 380 418 436 484 526 545 605 836 1045 1052 1090 1199 1210 1315 2071 2090 2180 2299 2398 2420 2630 2893 4142 4180 4598 4796 4997 5260 5786 5995 8284 9196 9994 10355 11495 11572 11990 13189 14465 19988 20710 22781 22990 23980 24985 26378 28667 28930 31823 41420 45562 45980 49970 52756 54967 57334 57860 63646 65945 91124 99940 109934 113905 114668 127292 131890 143335 159115 219868 227810 250591 263780 274835 286670 315337 318230 455620 501182 544673 549670 573340 604637 630674 636460 1002364 1089346 1099340 1209274 1252955 1261348 1576685 2178692 2418548 2505910 2723365 3023185 3153370 3468707 5011820 5446730 5991403 6046370 6306740 6937414 10893460 11982806 12092740 13874828 17343535 23965612 29957015 34687070 59914030 65905433 69374140 119828060 131810866 263621732 329527165 659054330 1318108660