Search a number
-
+
68114016 = 2532236507
BaseRepresentation
bin1000000111101…
…01011001100000
311202011112212100
410003311121200
5114414122031
610431530400
71454650065
oct403653140
9152145770
1068114016
11354a3083
121a989a00
131115b269
149090c6c
155ea6de6
hex40f5660

68114016 has 36 divisors (see below), whose sum is σ = 193700052. Its totient is φ = 22704576.

The previous prime is 68113987. The next prime is 68114029. The reversal of 68114016 is 61041186.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 117966 + ... + 118541.

It is an arithmetic number, because the mean of its divisors is an integer number (5380557).

Almost surely, 268114016 is an apocalyptic number.

It is an amenable number.

68114016 is an abundant number, since it is smaller than the sum of its proper divisors (125586036).

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

68114016 is a wasteful number, since it uses less digits than its factorization.

68114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236523 (or 236512 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 68114016 is about 8253.1215912526. The cubic root of 68114016 is about 408.3935073151.

The spelling of 68114016 in words is "sixty-eight million, one hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 236507 473014 709521 946028 1419042 1892056 2128563 2838084 3784112 4257126 5676168 7568224 8514252 11352336 17028504 22704672 34057008 68114016