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668268 = 223219977
BaseRepresentation
bin10100011001001101100
31020221200200
42203021230
5132341033
622153500
75452206
oct2431154
91227620
10668268
11417097
12282890
131a5233
14135776
15d3013
hexa326c

668268 has 36 divisors (see below), whose sum is σ = 1779960. Its totient is φ = 210816.

The previous prime is 668243. The next prime is 668273. The reversal of 668268 is 862866.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

668268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196 + ... + 1172.

2668268 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 668268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889980).

668268 is an abundant number, since it is smaller than the sum of its proper divisors (1111692).

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

668268 is a wasteful number, since it uses less digits than its factorization.

668268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1001 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 668268 is about 817.4766051698. The cubic root of 668268 is about 87.4279352217.

The spelling of 668268 in words is "six hundred sixty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 977 1954 2931 3908 5862 8793 11724 17586 18563 35172 37126 55689 74252 111378 167067 222756 334134 668268