Search a number
-
+
1361443230 = 2325719311197
BaseRepresentation
bin101000100100101…
…1111100110011110
310111212210111000100
41101021133212132
510242012140410
6343032241530
745511035150
oct12111374636
93455714010
101361443230
116395544a4
1231bb402a6
1318909bb14
14ccb56ad0
157e7ca8c0
hex5125f99e

1361443230 has 96 divisors (see below), whose sum is σ = 4066755264. Its totient is φ = 309547008.

The previous prime is 1361443229. The next prime is 1361443289. The reversal of 1361443230 is 323441631.

1361443230 is a `hidden beast` number, since 1 + 3 + 614 + 43 + 2 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1361443194 and 1361443203.

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 47 ways as a sum of consecutive naturals, for example, 115992 + ... + 127188.

It is an arithmetic number, because the mean of its divisors is an integer number (42362034).

Almost surely, 21361443230 is an apocalyptic number.

1361443230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361443230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033377632).

1361443230 is an abundant number, since it is smaller than the sum of its proper divisors (2705312034).

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

1361443230 is a wasteful number, since it uses less digits than its factorization.

1361443230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11410 (or 11407 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1361443230 is about 36897.7401747045. The cubic root of 1361443230 is about 1108.3234246135.

Adding to 1361443230 its reverse (323441631), we get a palindrome (1684884861).

The spelling of 1361443230 in words is "one billion, three hundred sixty-one million, four hundred forty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 193 210 315 386 579 630 965 1158 1351 1737 1930 2702 2895 3474 4053 5790 6755 8106 8685 11197 12159 13510 17370 20265 22394 24318 33591 40530 55985 60795 67182 78379 100773 111970 121590 156758 167955 201546 235137 335910 391895 470274 503865 705411 783790 1007730 1175685 1410822 2161021 2351370 3527055 4322042 6483063 7054110 10805105 12966126 15127147 19449189 21610210 30254294 32415315 38898378 45381441 64830630 75635735 90762882 97245945 136144323 151271470 194491890 226907205 272288646 453814410 680721615 1361443230