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2006060 = 225722389
BaseRepresentation
bin111101001110000101100
310202220210112
413221300230
51003143220
6110555152
723023400
oct7516054
93686715
102006060
111150201
12808ab8
13553124
143a3100
152995c5
hex1e9c2c

2006060 has 72 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 650496.

The previous prime is 2006033. The next prime is 2006071. The reversal of 2006060 is 606002.

It is a Harshad number since it is a multiple of its sum of digits (14).

2006060 is a modest number, since divided by 6060 gives 200 as remainder.

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 23 ways as a sum of consecutive naturals, for example, 22496 + ... + 22584.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22006060 is an apocalyptic number.

2006060 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 2006060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

2006060 is an abundant number, since it is smaller than the sum of its proper divisors (3164980).

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

2006060 is a wasteful number, since it uses less digits than its factorization.

2006060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2006060 is about 1416.3544754051. The cubic root of 2006060 is about 126.1192287069.

The spelling of 2006060 in words is "two million, six thousand, sixty", and thus it is an eban number.

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 89 92 98 115 140 161 178 196 230 245 322 356 445 460 490 623 644 805 890 980 1127 1246 1610 1780 2047 2254 2492 3115 3220 4094 4361 4508 5635 6230 8188 8722 10235 11270 12460 14329 17444 20470 21805 22540 28658 40940 43610 57316 71645 87220 100303 143290 200606 286580 401212 501515 1003030 2006060