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1000164 = 223117577
BaseRepresentation
bin11110100001011100100
31212210222010
43310023210
5224001124
633234220
711333634
oct3641344
91783863
101000164
11623490
12402970
13290319
141c06c4
1514b529
hexf42e4

1000164 has 24 divisors (see below), whose sum is σ = 2546208. Its totient is φ = 303040.

The previous prime is 1000159. The next prime is 1000171. The reversal of 1000164 is 4610001.

1000164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3657 + ... + 3920.

It is an arithmetic number, because the mean of its divisors is an integer number (106092).

21000164 is an apocalyptic number.

It is an amenable number.

1000164 is an abundant number, since it is smaller than the sum of its proper divisors (1546044).

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

1000164 is a wasteful number, since it uses less digits than its factorization.

1000164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7595 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1000164 is about 1000.0819966383. The cubic root of 1000164 is about 100.0054663678.

Adding to 1000164 its reverse (4610001), we get a palindrome (5610165).

The spelling of 1000164 in words is "one million, one hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 7577 15154 22731 30308 45462 83347 90924 166694 250041 333388 500082 1000164