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1002664 = 231331311
BaseRepresentation
bin11110100110010101000
31212221101201
43310302220
5224041124
633253544
711344135
oct3646250
91787351
101002664
11625353
124042b4
132914c0
141c158c
1514c144
hexf4ca8

1002664 has 32 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 446400.

The previous prime is 1002653. The next prime is 1002679. The reversal of 1002664 is 4662001.

1002664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

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, 3069 + ... + 3379.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

21002664 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 1002664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320).

1002664 is an abundant number, since it is smaller than the sum of its proper divisors (1093976).

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

1002664 is a wasteful number, since it uses less digits than its factorization.

1002664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1002664 is about 1001.3311140677. The cubic root of 1002664 is about 100.0887212621.

Adding to 1002664 its reverse (4662001), we get a palindrome (5664665).

The spelling of 1002664 in words is "one million, two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 311 403 622 806 1244 1612 2488 3224 4043 8086 9641 16172 19282 32344 38564 77128 125333 250666 501332 1002664