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2004002 = 272112132
BaseRepresentation
bin111101001010000100010
310202210222022
413221100202
51003112002
6110541442
723014400
oct7512042
93683868
102004002
111149700
12807882
13552200
143a2470
15298ba2
hex1e9422

2004002 has 54 divisors (see below), whose sum is σ = 4161969. Its totient is φ = 720720.

The previous prime is 2004001. The next prime is 2004007.

Added to its reverse (2004002) it gives a square (4008004 = 20022).

2004002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1713481 + 290521 = 1309^2 + 539^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1001.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2004001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154148 + ... + 154160.

22004002 is an apocalyptic number.

2004002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2004002 is an abundant number, since it is smaller than the sum of its proper divisors (2157967).

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

2004002 is a wasteful number, since it uses less digits than its factorization.

2004002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2004002 is about 1415.6277759355. The cubic root of 2004002 is about 126.0760857332.

The spelling of 2004002 in words is "two million, four thousand, two", and thus it is an eban number.

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 169 182 242 286 338 539 637 847 1001 1078 1183 1274 1573 1694 1859 2002 2366 3146 3718 5929 7007 8281 11011 11858 13013 14014 16562 20449 22022 26026 40898 77077 91091 143143 154154 182182 286286 1002001 2004002