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4066146 = 233731347
BaseRepresentation
bin1111100000101101100010
321122120201000
433200231202
52020104041
6223052430
746363440
oct17405542
97576630
104066146
112327a57
121441116
13ac4a06
1477bb90
15554bb6
hex3e0b62

4066146 has 64 divisors (see below), whose sum is σ = 10690560. Its totient is φ = 1121040.

The previous prime is 4066141. The next prime is 4066151. The reversal of 4066146 is 6416604.

4066146 is a `hidden beast` number, since 40 + 6 + 614 + 6 = 666.

4066146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4066141) and next prime (4066151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4066141) 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 31 ways as a sum of consecutive naturals, for example, 11545 + ... + 11891.

It is an arithmetic number, because the mean of its divisors is an integer number (167040).

Almost surely, 24066146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345280).

4066146 is an abundant number, since it is smaller than the sum of its proper divisors (6624414).

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

4066146 is a wasteful number, since it uses less digits than its factorization.

4066146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4066146 is about 2016.4686955170. The cubic root of 4066146 is about 159.6103277844.

The spelling of 4066146 in words is "four million, sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 347 378 434 558 651 694 837 1041 1302 1674 1953 2082 2429 3123 3906 4858 5859 6246 7287 9369 10757 11718 14574 18738 21514 21861 32271 43722 64542 65583 75299 96813 131166 150598 193626 225897 290439 451794 580878 677691 1355382 2033073 4066146