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2006046 = 23472961
BaseRepresentation
bin111101001110000011110
310202220210000
413221300132
51003143141
6110555130
723023350
oct7516036
93686700
102006046
111150199
12808aa6
13553113
143a30d0
152995b6
hex1e9c1e

2006046 has 80 divisors (see below), whose sum is σ = 5401440. Its totient is φ = 544320.

The previous prime is 2006033. The next prime is 2006071. The reversal of 2006046 is 6406002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32856 + ... + 32916.

It is an arithmetic number, because the mean of its divisors is an integer number (67518).

22006046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700720).

2006046 is an abundant number, since it is smaller than the sum of its proper divisors (3395394).

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

2006046 is a wasteful number, since it uses less digits than its factorization.

2006046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

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

The square root of 2006046 is about 1416.3495331309. The cubic root of 2006046 is about 126.1189353170.

The spelling of 2006046 in words is "two million, six thousand, forty-six", and thus it is an eban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 61 63 81 87 122 126 162 174 183 189 203 261 366 378 406 427 522 549 567 609 783 854 1098 1134 1218 1281 1566 1647 1769 1827 2349 2562 3294 3538 3654 3843 4698 4941 5307 5481 7686 9882 10614 10962 11529 12383 15921 16443 23058 24766 31842 32886 34587 37149 47763 69174 74298 95526 111447 143289 222894 286578 334341 668682 1003023 2006046