Search a number
-
+
1339120836 = 22341921072
BaseRepresentation
bin100111111010001…
…0101110011000100
310110022210101110000
41033310111303010
510220303331321
6340514001300
745120224244
oct11764256304
93408711400
101339120836
11627998339
12314576230
131845845c1
14c9bc5b24
157c86b826
hex4fd15cc4

1339120836 has 135 divisors (see below), whose sum is σ = 3729524799. Its totient is φ = 418928112.

The previous prime is 1339120829. The next prime is 1339120837. The reversal of 1339120836 is 6380219331.

The square root of 1339120836 is 36594.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×13391208362 = 3586489226818677792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1339120836.

It is not an unprimeable number, because it can be changed into a prime (1339120837) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12515095 + ... + 12515201.

Almost surely, 21339120836 is an apocalyptic number.

1339120836 is the 36594-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1339120836

1339120836 is an abundant number, since it is smaller than the sum of its proper divisors (2390403963).

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

1339120836 is a wasteful number, since it uses less digits than its factorization.

1339120836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 1339120836 is about 1102.2326104294.

Multiplying 1339120836 by its sum of digits (36), we get a square (48208350096 = 2195642).

1339120836 divided by its sum of digits (36) gives a square (37197801 = 60992).

The spelling of 1339120836 in words is "one billion, three hundred thirty-nine million, one hundred twenty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 107 108 114 162 171 214 228 321 324 342 361 428 513 642 684 722 963 1026 1083 1284 1444 1539 1926 2033 2052 2166 2889 3078 3249 3852 4066 4332 5778 6099 6156 6498 8132 8667 9747 11449 11556 12198 12996 17334 18297 19494 22898 24396 29241 34347 34668 36594 38627 38988 45796 54891 58482 68694 73188 77254 103041 109782 115881 116964 137388 154508 164673 206082 217531 219564 231762 309123 329346 347643 412164 435062 463524 618246 652593 658692 695286 870124 927369 1042929 1236492 1305186 1390572 1854738 1957779 2085858 2610372 3128787 3709476 3915558 4133089 4171716 5873337 6257574 7831116 8266178 11746674 12399267 12515148 16532356 17620011 23493348 24798534 35240022 37197801 49597068 70480044 74395602 111593403 148791204 223186806 334780209 446373612 669560418 1339120836