Search a number
-
+
1328388660 = 22355443617
BaseRepresentation
bin100111100101101…
…1001101000110100
310102120121010200000
41033023121220310
510210031414120
6335451551300
744630055144
oct11713315064
93376533600
101328388660
11621928075
12310a5b530
131822976c1
14c85d0924
157b94b990
hex4f2d9a34

1328388660 has 144 divisors (see below), whose sum is σ = 4194904896. Its totient is φ = 352864512.

The previous prime is 1328388647. The next prime is 1328388671. The reversal of 1328388660 is 668838231.

1328388660 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 2152672 + ... + 2153288.

It is an arithmetic number, because the mean of its divisors is an integer number (29131284).

Almost surely, 21328388660 is an apocalyptic number.

1328388660 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 1328388660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097452448).

1328388660 is an abundant number, since it is smaller than the sum of its proper divisors (2866516236).

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

1328388660 is a wasteful number, since it uses less digits than its factorization.

1328388660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1328388660 is about 36447.0665486264. The cubic root of 1328388660 is about 1099.2801516180.

The spelling of 1328388660 in words is "one billion, three hundred twenty-eight million, three hundred eighty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 443 486 540 617 810 886 972 1215 1234 1329 1620 1772 1851 2215 2430 2468 2658 3085 3702 3987 4430 4860 5316 5553 6170 6645 7404 7974 8860 9255 11106 11961 12340 13290 15948 16659 18510 19935 22212 23922 26580 27765 33318 35883 37020 39870 47844 49977 55530 59805 66636 71766 79740 83295 99954 107649 111060 119610 143532 149931 166590 179415 199908 215298 239220 249885 273331 299862 333180 358830 430596 499770 538245 546662 599724 717660 749655 819993 999540 1076490 1093324 1366655 1499310 1639986 2152980 2459979 2733310 2998620 3279972 4099965 4919958 5466620 7379937 8199930 9839916 12299895 14759874 16399860 22139811 24599790 29519748 36899685 44279622 49199580 66419433 73799370 88559244 110699055 132838866 147598740 221398110 265677732 332097165 442796220 664194330 1328388660