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2042004 = 223170167
BaseRepresentation
bin111110010100010010100
310211202002210
413302202110
51010321004
6111433420
723233236
oct7624224
93752083
102042004
111175208
12825870
135665b3
143b2256
152a5089
hex1f2894

2042004 has 12 divisors (see below), whose sum is σ = 4764704. Its totient is φ = 680664.

The previous prime is 2041997. The next prime is 2042017. The reversal of 2042004 is 4002402.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 170167 = 2042004 / (2 + 0 + 4 + 2 + 0 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85072 + ... + 85095.

22042004 is an apocalyptic number.

It is an amenable number.

2042004 is an abundant number, since it is smaller than the sum of its proper divisors (2722700).

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

2042004 is a wasteful number, since it uses less digits than its factorization.

2042004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170174 (or 170172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2042004 is about 1428.9870538252. The cubic root of 2042004 is about 126.8680299826.

Adding to 2042004 its reverse (4002402), we get a palindrome (6044406).

It can be divided in two parts, 20 and 42004, that added together give a palindrome (42024).

The spelling of 2042004 in words is "two million, forty-two thousand, four", and thus it is an eban number.

Divisors: 1 2 3 4 6 12 170167 340334 510501 680668 1021002 2042004