Search a number
-
+
68106805 = 5136189193
BaseRepresentation
bin1000000111100…
…11101000110101
311202011011222021
410003303220311
5114413404210
610431433141
71454620054
oct403635065
9152134867
1068106805
1135498718
121a9857b1
1311157bb0
14908c39b
155ea4bda
hex40f3a35

68106805 has 32 divisors (see below), whose sum is σ = 90931680. Its totient is φ = 48660480.

The previous prime is 68106763. The next prime is 68106809. The reversal of 68106805 is 50860186.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 61826769 + 6280036 = 7863^2 + 2506^2 .

It is a de Polignac number, because none of the positive numbers 2k-68106805 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68106809) 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 31 ways as a sum of consecutive naturals, for example, 352789 + ... + 352981.

It is an arithmetic number, because the mean of its divisors is an integer number (2841615).

Almost surely, 268106805 is an apocalyptic number.

68106805 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

68106805 is a deficient number, since it is larger than the sum of its proper divisors (22824875).

68106805 is a wasteful number, since it uses less digits than its factorization.

68106805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361.

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 68106805 is about 8252.6847146853. The cubic root of 68106805 is about 408.3790950610.

The spelling of 68106805 in words is "sixty-eight million, one hundred six thousand, eight hundred five".

Divisors: 1 5 13 61 65 89 193 305 445 793 965 1157 2509 3965 5429 5785 11773 12545 17177 27145 58865 70577 85885 153049 223301 352885 765245 1047797 1116505 5238985 13621361 68106805