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4066020 = 2232572461
BaseRepresentation
bin1111100000101011100100
321122120112100
433200223210
52020103040
6223052100
746363200
oct17405344
97576470
104066020
112327952
121441030
13ac493a
1477bb00
15554b30
hex3e0ae4

4066020 has 108 divisors (see below), whose sum is σ = 14378364. Its totient is φ = 927360.

The previous prime is 4065989. The next prime is 4066021. The reversal of 4066020 is 206604.

4066020 is a `hidden beast` number, since 4 + 0 + 660 + 2 + 0 = 666.

4066020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 2683044 = 1176^2 + 1638^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 4065984 and 4066002.

It is not an unprimeable number, because it can be changed into a prime (4066021) 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 35 ways as a sum of consecutive naturals, for example, 8590 + ... + 9050.

It is an arithmetic number, because the mean of its divisors is an integer number (133133).

Almost surely, 24066020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189182).

4066020 is an abundant number, since it is smaller than the sum of its proper divisors (10312344).

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

4066020 is a wasteful number, since it uses less digits than its factorization.

4066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4066020 is about 2016.4374525385. The cubic root of 4066020 is about 159.6086791217.

The spelling of 4066020 in words is "four million, sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 461 490 588 630 735 882 922 980 1260 1383 1470 1764 1844 2205 2305 2766 2940 3227 4149 4410 4610 5532 6454 6915 8298 8820 9220 9681 12908 13830 16135 16596 19362 20745 22589 27660 29043 32270 38724 41490 45178 48405 58086 64540 67767 82980 90356 96810 112945 116172 135534 145215 193620 203301 225890 271068 290430 338835 406602 451780 580860 677670 813204 1016505 1355340 2033010 4066020