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2006382 = 237233167
BaseRepresentation
bin111101001110101101110
310202221020110
413221311232
51003201012
6111000450
723024340
oct7516556
93687213
102006382
111150474
12809126
13553311
143a3290
1529973c
hex1e9d6e

2006382 has 64 divisors (see below), whose sum is σ = 5013504. Its totient is φ = 522720.

The previous prime is 2006377. The next prime is 2006387. The reversal of 2006382 is 2836002.

It is an interprime number because it is at equal distance from previous prime (2006377) and next prime (2006387).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29913 + ... + 29979.

It is an arithmetic number, because the mean of its divisors is an integer number (78336).

22006382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506752).

2006382 is an abundant number, since it is smaller than the sum of its proper divisors (3007122).

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

2006382 is a wasteful number, since it uses less digits than its factorization.

2006382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2006382 is about 1416.4681429527. The cubic root of 2006382 is about 126.1259762982.

The spelling of 2006382 in words is "two million, six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 67 69 93 134 138 161 186 201 217 322 402 434 469 483 651 713 938 966 1302 1407 1426 1541 2077 2139 2814 3082 4154 4278 4623 4991 6231 9246 9982 10787 12462 14539 14973 21574 29078 29946 32361 43617 47771 64722 87234 95542 143313 286626 334397 668794 1003191 2006382