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68069088 = 25321713903
BaseRepresentation
bin1000000111010…
…10011011100000
311202002021020100
410003222123200
5114411202323
610430542400
71454402103
oct403523340
9152067210
1068069088
113547234a
121a967a00
1311143989
14907c73a
155e98943
hex40ea6e0

68069088 has 72 divisors (see below), whose sum is σ = 204972768. Its totient is φ = 21353472.

The previous prime is 68069063. The next prime is 68069101. The reversal of 68069088 is 88096086.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 2056 + ... + 11847.

It is an arithmetic number, because the mean of its divisors is an integer number (2846844).

Almost surely, 268069088 is an apocalyptic number.

68069088 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68069088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102486384).

68069088 is an abundant number, since it is smaller than the sum of its proper divisors (136903680).

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

68069088 is a wasteful number, since it uses less digits than its factorization.

68069088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13936 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 68069088 is about 8250.3992630660. The cubic root of 68069088 is about 408.3036954563.

The spelling of 68069088 in words is "sixty-eight million, sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 13903 27806 41709 55612 83418 111224 125127 166836 222448 236351 250254 333672 444896 472702 500508 667344 709053 945404 1001016 1334688 1418106 1890808 2002032 2127159 2836212 3781616 4004064 4254318 5672424 7563232 8508636 11344848 17017272 22689696 34034544 68069088