Search a number
-
+
6818268060 = 22325137283977
BaseRepresentation
bin1100101100110011…
…01000001110011100
3122121011202220102200
412112121220032130
5102430434034220
63044323051500
7330651215352
oct62631501634
918534686380
106818268060
11298980978a
1213a3510b90
13848776956
144897717d2
1529d8bc890
hex19666839c

6818268060 has 144 divisors (see below), whose sum is σ = 20928057696. Its totient is φ = 1796714496.

The previous prime is 6818268011. The next prime is 6818268077. The reversal of 6818268060 is 608628186.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 6818267997 and 6818268015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6978292 + ... + 6979268.

It is an arithmetic number, because the mean of its divisors is an integer number (145333734).

Almost surely, 26818268060 is an apocalyptic number.

6818268060 is a gapful number since it is divisible by the number (60) 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 6818268060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10464028848).

6818268060 is an abundant number, since it is smaller than the sum of its proper divisors (14109789636).

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

6818268060 is a wasteful number, since it uses less digits than its factorization.

6818268060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6818268060 is about 82572.8046029684. The cubic root of 6818268060 is about 1896.2315018024.

The spelling of 6818268060 in words is "six billion, eight hundred eighteen million, two hundred sixty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 283 411 548 566 685 822 849 977 1132 1233 1370 1415 1644 1698 1954 2055 2466 2547 2740 2830 2931 3396 3908 4110 4245 4885 4932 5094 5660 5862 6165 8220 8490 8793 9770 10188 11724 12330 12735 14655 16980 17586 19540 24660 25470 29310 35172 38771 43965 50940 58620 77542 87930 116313 133849 155084 175860 193855 232626 267698 276491 348939 387710 401547 465252 535396 552982 581565 669245 697878 775420 803094 829473 1105964 1163130 1204641 1338490 1382455 1395756 1606188 1658946 1744695 2007735 2326260 2409282 2488419 2676980 2764910 3317892 3489390 4015470 4147365 4818564 4976838 5529820 6023205 6978780 8030940 8294730 9953676 12046410 12442095 16589460 24092820 24884190 37879267 49768380 75758534 113637801 151517068 189396335 227275602 340913403 378792670 454551204 568189005 681826806 757585340 1136378010 1363653612 1704567015 2272756020 3409134030 6818268060