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668382 = 2311131941
BaseRepresentation
bin10100011001011011110
31020221211220
42203023132
5132342012
622154210
75452431
oct2431336
91227756
10668382
11417190
12282966
131a52c0
14135818
15d308c
hexa32de

668382 has 64 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 172800.

The previous prime is 668347. The next prime is 668407. The reversal of 668382 is 283866.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 16282 + ... + 16322.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2668382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

668382 is an abundant number, since it is smaller than the sum of its proper divisors (1025058).

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

668382 is a wasteful number, since it uses less digits than its factorization.

668382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89.

The product of its digits is 13824, while the sum is 33.

The square root of 668382 is about 817.5463289625. The cubic root of 668382 is about 87.4329063900.

It can be divided in two parts, 66 and 8382, that added together give a palindrome (8448).

The spelling of 668382 in words is "six hundred sixty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 41 57 66 78 82 114 123 143 209 246 247 286 418 429 451 494 533 627 741 779 858 902 1066 1254 1353 1482 1558 1599 2337 2706 2717 3198 4674 5434 5863 8151 8569 10127 11726 16302 17138 17589 20254 25707 30381 35178 51414 60762 111397 222794 334191 668382