Search a number
-
+
2004060 = 2235127263
BaseRepresentation
bin111101001010001011100
310202211001110
413221101130
51003112220
6110542020
723014512
oct7512134
93684043
102004060
111149753
12807910
13552246
143a24b2
15298be0
hex1e945c

2004060 has 48 divisors (see below), whose sum is σ = 5677056. Its totient is φ = 528192.

The previous prime is 2004049. The next prime is 2004073. The reversal of 2004060 is 604002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7489 + ... + 7751.

It is an arithmetic number, because the mean of its divisors is an integer number (118272).

22004060 is an apocalyptic number.

2004060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838528).

2004060 is an abundant number, since it is smaller than the sum of its proper divisors (3672996).

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

2004060 is a wasteful number, since it uses less digits than its factorization.

2004060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2004060 is about 1415.6482613983. The cubic root of 2004060 is about 126.0773020232.

Adding to 2004060 its reverse (604002), we get a palindrome (2608062).

It can be divided in two parts, 20040 and 60, that added together give a triangular number (20100 = T200).

The spelling of 2004060 in words is "two million, four thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 263 381 508 526 635 762 789 1052 1270 1315 1524 1578 1905 2540 2630 3156 3810 3945 5260 7620 7890 15780 33401 66802 100203 133604 167005 200406 334010 400812 501015 668020 1002030 2004060