Search a number
-
+
68111082 = 232132910037
BaseRepresentation
bin1000000111101…
…00101011101010
311202011101211200
410003310223222
5114414023312
610431505030
71454635404
oct403645352
9152141750
1068111082
11354a0956
121a988176
1311159b20
14908db74
155ea60dc
hex40f4aea

68111082 has 48 divisors (see below), whose sum is σ = 164422440. Its totient is φ = 20232576.

The previous prime is 68111063. The next prime is 68111107. The reversal of 68111082 is 28011186.

It can be written as a sum of positive squares in 4 ways, for example, as 42497361 + 25613721 = 6519^2 + 5061^2 .

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 23 ways as a sum of consecutive naturals, for example, 1768 + ... + 11804.

Almost surely, 268111082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68111082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82211220).

68111082 is an abundant number, since it is smaller than the sum of its proper divisors (96311358).

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

68111082 is a wasteful number, since it uses less digits than its factorization.

68111082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10087 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 68111082 is about 8252.9438384131. The cubic root of 68111082 is about 408.3876434033.

The spelling of 68111082 in words is "sixty-eight million, one hundred eleven thousand, eighty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 10037 20074 30111 60222 90333 130481 180666 260962 291073 391443 582146 782886 873219 1174329 1746438 2348658 2619657 3783949 5239314 7567898 11351847 22703694 34055541 68111082