Search a number
-
+
2985066 = 233753149
BaseRepresentation
bin1011011000110001101010
312121122202000
423120301222
51231010231
6143551430
734241550
oct13306152
95548660
102985066
1117597a7
12bbb576
13806916
14579bd0
153de6e6
hex2d8c6a

2985066 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 831168.

The previous prime is 2985061. The next prime is 2985067. The reversal of 2985066 is 6605892.

2985066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2985066.

It is not an unprimeable number, because it can be changed into a prime (2985061) 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, 19960 + ... + 20108.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

22985066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

2985066 is an abundant number, since it is smaller than the sum of its proper divisors (4790934).

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

2985066 is a wasteful number, since it uses less digits than its factorization.

2985066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2985066 is about 1727.7343545812. The cubic root of 2985066 is about 143.9852415430.

The spelling of 2985066 in words is "two million, nine hundred eighty-five thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 149 159 189 298 318 371 378 447 477 742 894 954 1043 1113 1341 1431 2086 2226 2682 2862 3129 3339 4023 6258 6678 7897 8046 9387 10017 15794 18774 20034 23691 28161 47382 55279 56322 71073 110558 142146 165837 213219 331674 426438 497511 995022 1492533 2985066