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664002 = 23237997
BaseRepresentation
bin10100010000111000010
31020201211200
42202013002
5132222002
622122030
75433603
oct2420702
91221750
10664002
11413969
12280316
131a3301
14133daa
15d1b1c
hexa21c2

664002 has 24 divisors (see below), whose sum is σ = 1479036. Its totient is φ = 215136.

The previous prime is 663997. The next prime is 664009. The reversal of 664002 is 200466.

664002 is a `hidden beast` number, since 664 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 549081 + 114921 = 741^2 + 339^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 664002.

It is not an unprimeable number, because it can be changed into a prime (664009) by changing a digit.

664002 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 168 + ... + 1164.

2664002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739518).

664002 is an abundant number, since it is smaller than the sum of its proper divisors (815034).

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

664002 is a wasteful number, since it uses less digits than its factorization.

664002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 664002 is about 814.8631786993. The cubic root of 664002 is about 87.2415010208.

Adding to 664002 its reverse (200466), we get a palindrome (864468).

The spelling of 664002 in words is "six hundred sixty-four thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 997 1994 2991 5982 8973 17946 36889 73778 110667 221334 332001 664002