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68130405 = 3257316977
BaseRepresentation
bin1000000111110…
…01011001100101
311202012101100100
410003321121211
5114420133110
610432134313
71455045630
oct403713145
9152171310
1068130405
1135504422
121a997399
1311165865
149096c17
155eabbc0
hex40f9665

68130405 has 48 divisors (see below), whose sum is σ = 139336704. Its totient is φ = 30136320.

The previous prime is 68130379. The next prime is 68130421. The reversal of 68130405 is 50403186.

It is not a de Polignac number, because 68130405 - 28 = 68130149 is a prime.

It is a super-3 number, since 3×681304053 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6277 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (2902848).

Almost surely, 268130405 is an apocalyptic number.

It is an amenable number.

68130405 is an abundant number, since it is smaller than the sum of its proper divisors (71206299).

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

68130405 is a wasteful number, since it uses less digits than its factorization.

68130405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68130405 is about 8254.1144285744. The cubic root of 68130405 is about 408.4262593821.

The spelling of 68130405 in words is "sixty-eight million, one hundred thirty thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 6977 9765 20931 34885 48839 62793 104655 146517 216287 244195 313965 439551 648861 732585 1081435 1514009 1946583 2197755 3244305 4542027 7570045 9732915 13626081 22710135 68130405