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1000168 = 231359163
BaseRepresentation
bin11110100001011101000
31212210222021
43310023220
5224001133
633234224
711333641
oct3641350
91783867
101000168
11623494
12402974
13290320
141c06c8
1514b52d
hexf42e8

1000168 has 32 divisors (see below), whose sum is σ = 2066400. Its totient is φ = 451008.

The previous prime is 1000159. The next prime is 1000171. The reversal of 1000168 is 8610001.

1000168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6055 + ... + 6217.

It is an arithmetic number, because the mean of its divisors is an integer number (64575).

21000168 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 1000168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033200).

1000168 is an abundant number, since it is smaller than the sum of its proper divisors (1066232).

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

1000168 is a wasteful number, since it uses less digits than its factorization.

1000168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1000168 is about 1000.0839964723. The cubic root of 1000168 is about 100.0055996864.

Adding to 1000168 its reverse (8610001), we get a palindrome (9610169).

The spelling of 1000168 in words is "one million, one hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 59 104 118 163 236 326 472 652 767 1304 1534 2119 3068 4238 6136 8476 9617 16952 19234 38468 76936 125021 250042 500084 1000168