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668096 = 26111373
BaseRepresentation
bin10100011000111000000
31020221110022
42203013000
5132334341
622153012
75451542
oct2430700
91227408
10668096
11416a50
12282768
131a5130
14135692
15d2e4b
hexa31c0

668096 has 56 divisors (see below), whose sum is σ = 1578864. Its totient is φ = 276480.

The previous prime is 668093. The next prime is 668111. The reversal of 668096 is 690866.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 668096.

It is not an unprimeable number, because it can be changed into a prime (668093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9116 + ... + 9188.

It is an arithmetic number, because the mean of its divisors is an integer number (28194).

2668096 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 668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789432).

668096 is an abundant number, since it is smaller than the sum of its proper divisors (910768).

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

668096 is a wasteful number, since it uses less digits than its factorization.

668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 668096 is about 817.3713966123. The cubic root of 668096 is about 87.4204337926.

It can be divided in two parts, 6680 and 96, that added together give a palindrome (6776).

The spelling of 668096 in words is "six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 73 88 104 143 146 176 208 286 292 352 416 572 584 704 803 832 949 1144 1168 1606 1898 2288 2336 3212 3796 4576 4672 6424 7592 9152 10439 12848 15184 20878 25696 30368 41756 51392 60736 83512 167024 334048 668096