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68049760 = 2551014211
BaseRepresentation
bin1000000111001…
…01101101100000
311202001021201111
410003211231200
5114410043020
610430313104
71454261542
oct403455540
9152037644
1068049760
1135459879
121a958794
1311137c3c
149075692
155e92d5a
hex40e5b60

68049760 has 48 divisors (see below), whose sum is σ = 162397872. Its totient is φ = 26944000.

The previous prime is 68049757. The next prime is 68049763. The reversal of 68049760 is 6794086.

It is an interprime number because it is at equal distance from previous prime (68049757) and next prime (68049763).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68049763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14055 + ... + 18265.

It is an arithmetic number, because the mean of its divisors is an integer number (3383289).

Almost surely, 268049760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81198936).

68049760 is an abundant number, since it is smaller than the sum of its proper divisors (94348112).

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

68049760 is a wasteful number, since it uses less digits than its factorization.

68049760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 68049760 is about 8249.2278426529. The cubic root of 68049760 is about 408.2650462882.

The spelling of 68049760 in words is "sixty-eight million, forty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 4211 8080 8422 16160 16844 21055 33688 42110 67376 84220 134752 168440 336880 425311 673760 850622 1701244 2126555 3402488 4253110 6804976 8506220 13609952 17012440 34024880 68049760