Search a number
-
+
1339027248 = 2431323791181
BaseRepresentation
bin100111111001111…
…1110111100110000
310110022121122001210
41033303332330300
510220242332443
6340512000120
745116354346
oct11763767460
93408548053
101339027248
11627933a99
12314530040
13184550b20
14c9b9d996
157c84dc33
hex4fcfef30

1339027248 has 160 divisors (see below), whose sum is σ = 3939747840. Its totient is φ = 388776960.

The previous prime is 1339027231. The next prime is 1339027273. The reversal of 1339027248 is 8427209331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133218 + ... + 1134398.

It is an arithmetic number, because the mean of its divisors is an integer number (24623424).

Almost surely, 21339027248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1339027248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969873920).

1339027248 is an abundant number, since it is smaller than the sum of its proper divisors (2600720592).

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

1339027248 is a wasteful number, since it uses less digits than its factorization.

1339027248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1339027248 is about 36592.7212434386. The cubic root of 1339027248 is about 1102.2069323512.

The spelling of 1339027248 in words is "one billion, three hundred thirty-nine million, twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 79 92 104 138 156 158 184 208 237 276 299 312 316 368 474 552 598 624 632 897 948 1027 1104 1181 1196 1264 1794 1817 1896 2054 2362 2392 3081 3543 3588 3634 3792 4108 4724 4784 5451 6162 7086 7176 7268 8216 9448 10902 12324 14172 14352 14536 15353 16432 18896 21804 23621 24648 27163 28344 29072 30706 43608 46059 47242 49296 54326 56688 61412 70863 81489 87216 92118 93299 94484 108652 122824 141726 162978 184236 186598 188968 217304 245648 279897 283452 325956 353119 368472 373196 377936 434608 559794 566904 651912 706238 736944 746392 1059357 1119588 1133808 1212887 1303824 1412476 1492784 2118714 2145877 2239176 2425774 2824952 3638661 4237428 4291754 4478352 4851548 5649904 6437631 7277322 8474856 8583508 9703096 12875262 14554644 16949712 17167016 19406192 25750524 27896401 29109288 34334032 51501048 55792802 58218576 83689203 103002096 111585604 167378406 223171208 334756812 446342416 669513624 1339027248