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2004021 = 362749
BaseRepresentation
bin111101001010000110101
310202211000000
413221100311
51003112041
6110541513
723014425
oct7512065
93684000
102004021
111149718
12807899
13552216
143a2485
15298bb6
hex1e9435

2004021 has 14 divisors (see below), whose sum is σ = 3005750. Its totient is φ = 1335528.

The previous prime is 2004017. The next prime is 2004029. The reversal of 2004021 is 1204002.

It can be written as a sum of positive squares in only one way, i.e., 1347921 + 656100 = 1161^2 + 810^2 .

It is not a de Polignac number, because 2004021 - 22 = 2004017 is a prime.

It is a super-2 number, since 2×20040212 = 8032200336882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003994 and 2004012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 646 + ... + 2103.

22004021 is an apocalyptic number.

It is an amenable number.

2004021 is a deficient number, since it is larger than the sum of its proper divisors (1001729).

2004021 is an frugal number, since it uses more digits than its factorization.

2004021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2004021 is about 1415.6344867232. The cubic root of 2004021 is about 126.0764841756.

Adding to 2004021 its reverse (1204002), we get a palindrome (3208023).

The spelling of 2004021 in words is "two million, four thousand, twenty-one".

Divisors: 1 3 9 27 81 243 729 2749 8247 24741 74223 222669 668007 2004021