Search a number
-
+
68148801 = 32717219197
BaseRepresentation
bin1000000111111…
…01111001000001
311202020022120200
410003331321001
5114421230201
610432355413
71455153360
oct403757101
9152208520
1068148801
1135517226
121a9a5b69
1311171046
14909d7d7
155eb2386
hex40fde41

68148801 has 72 divisors (see below), whose sum is σ = 126434880. Its totient is φ = 34546176.

The previous prime is 68148799. The next prime is 68148803. The reversal of 68148801 is 10884186.

It is an interprime number because it is at equal distance from previous prime (68148799) and next prime (68148803).

It is not a de Polignac number, because 68148801 - 21 = 68148799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68148803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 345835 + ... + 346031.

It is an arithmetic number, because the mean of its divisors is an integer number (1756040).

Almost surely, 268148801 is an apocalyptic number.

It is an amenable number.

68148801 is a deficient number, since it is larger than the sum of its proper divisors (58286079).

68148801 is a wasteful number, since it uses less digits than its factorization.

68148801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 68148801 is about 8255.2287067046. The cubic root of 68148801 is about 408.4630160173.

The spelling of 68148801 in words is "sixty-eight million, one hundred forty-eight thousand, eight hundred one".

Divisors: 1 3 7 9 17 19 21 51 57 63 119 133 153 171 197 289 323 357 399 591 867 969 1071 1197 1379 1773 2023 2261 2601 2907 3349 3743 4137 5491 6069 6783 10047 11229 12411 16473 18207 20349 23443 26201 30141 33687 38437 49419 56933 63631 70329 78603 115311 170799 190893 210987 235809 345933 398531 445417 512397 572679 1081727 1195593 1336251 3245181 3586779 4008753 7572089 9735543 22716267 68148801