Search a number
-
+
288068196 = 2231317195717
BaseRepresentation
bin10001001010111…
…001001001100100
3202002001101021110
4101022321021210
51042221140241
644330145020
710065352653
oct2112711144
9662041243
10288068196
11138674999
1280582170
13478b0b70
142a38919a
151a453816
hex112b9264

288068196 has 96 divisors (see below), whose sum is σ = 806924160. Its totient is φ = 79017984.

The previous prime is 288068191. The next prime is 288068201. The reversal of 288068196 is 691860882.

It is an interprime number because it is at equal distance from previous prime (288068191) and next prime (288068201).

It is not an unprimeable number, because it can be changed into a prime (288068191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47530 + ... + 53246.

It is an arithmetic number, because the mean of its divisors is an integer number (8405460).

Almost surely, 2288068196 is an apocalyptic number.

288068196 is a gapful number since it is divisible by the number (26) 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 288068196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403462080).

288068196 is an abundant number, since it is smaller than the sum of its proper divisors (518855964).

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

288068196 is a wasteful number, since it uses less digits than its factorization.

288068196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 288068196 is about 16972.5718734669. The cubic root of 288068196 is about 660.4375702557.

The spelling of 288068196 in words is "two hundred eighty-eight million, sixty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 204 221 228 247 323 442 494 646 663 741 884 969 988 1292 1326 1482 1938 2652 2964 3876 4199 5717 8398 11434 12597 16796 17151 22868 25194 34302 50388 68604 74321 97189 108623 148642 194378 217246 222963 291567 297284 325869 388756 434492 445926 583134 651738 891852 1166268 1263457 1303476 1412099 1846591 2526914 2824198 3693182 3790371 4236297 5053828 5539773 5648396 7386364 7580742 8472594 11079546 15161484 16945188 22159092 24005683 48011366 72017049 96022732 144034098 288068196