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68120541 = 332522983
BaseRepresentation
bin1000000111101…
…10111111011101
311202011212211000
410003312333131
5114414324131
610432020513
71455005106
oct403667735
9152155730
1068120541
11354a7a75
121a991739
1311161218
1490933ad
155ea8ce6
hex40f6fdd

68120541 has 8 divisors (see below), whose sum is σ = 100919360. Its totient is φ = 45413676.

The previous prime is 68120527. The next prime is 68120597. The reversal of 68120541 is 14502186.

It is not a de Polignac number, because 68120541 - 25 = 68120509 is a prime.

It is a super-2 number, since 2×681205412 = 9280816212265362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2522983 = 68120541 / (6 + 8 + 1 + 2 + 0 + 5 + 4 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68120501) 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 7 ways as a sum of consecutive naturals, for example, 1261465 + ... + 1261518.

It is an arithmetic number, because the mean of its divisors is an integer number (12614920).

Almost surely, 268120541 is an apocalyptic number.

It is an amenable number.

68120541 is a deficient number, since it is larger than the sum of its proper divisors (32798819).

68120541 is a wasteful number, since it uses less digits than its factorization.

68120541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522992 (or 2522986 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68120541 is about 8253.5168867580. The cubic root of 68120541 is about 408.4065476197.

The spelling of 68120541 in words is "sixty-eight million, one hundred twenty thousand, five hundred forty-one".

Divisors: 1 3 9 27 2522983 7568949 22706847 68120541