Search a number
-
+
128068605 = 325722412
BaseRepresentation
bin1111010001000…
…10101111111101
322220222120002200
413220202233331
5230241143410
620412542113
73113364600
oct750425775
9286876080
10128068605
1166322925
1236a81939
13206c0652
141301a337
15b39b3c0
hex7a22bfd

128068605 has 54 divisors (see below), whose sum is σ = 259304058. Its totient is φ = 58302720.

The previous prime is 128068601. The next prime is 128068631. The reversal of 128068605 is 506860821.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 39162564 + 88906041 = 6258^2 + 9429^2 .

It is not a de Polignac number, because 128068605 - 22 = 128068601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 128068605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128068601) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 531285 + ... + 531525.

It is an arithmetic number, because the mean of its divisors is an integer number (4801927).

Almost surely, 2128068605 is an apocalyptic number.

128068605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128068605 is an abundant number, since it is smaller than the sum of its proper divisors (131235453).

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

128068605 is an equidigital number, since it uses as much as digits as its factorization.

128068605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 128068605 is about 11316.7400341264. The cubic root of 128068605 is about 504.0584422970.

The spelling of 128068605 in words is "one hundred twenty-eight million, sixty-eight thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 241 245 315 441 723 735 1205 1687 2169 2205 3615 5061 8435 10845 11809 15183 25305 35427 58081 59045 75915 106281 174243 177135 290405 406567 522729 531405 871215 1219701 2032835 2613645 2845969 3659103 6098505 8537907 14229845 18295515 25613721 42689535 128068605