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2072382 = 23131632
BaseRepresentation
bin111111001111100111110
310220021202220
413321330332
51012304012
6112230210
723420634
oct7717476
93807686
102072382
111196014
1283b366
13577380
143bd354
152ae08c
hex1f9f3e

2072382 has 24 divisors (see below), whose sum is σ = 4491144. Its totient is φ = 633744.

The previous prime is 2072363. The next prime is 2072383. The reversal of 2072382 is 2832702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12633 + ... + 12795.

It is an arithmetic number, because the mean of its divisors is an integer number (187131).

22072382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245572).

2072382 is an abundant number, since it is smaller than the sum of its proper divisors (2418762).

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

2072382 is a wasteful number, since it uses less digits than its factorization.

2072382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2072382 is about 1439.5770212114. The cubic root of 2072382 is about 127.4940558551.

The spelling of 2072382 in words is "two million, seventy-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 78 163 326 489 978 2119 4238 6357 12714 26569 53138 79707 159414 345397 690794 1036191 2072382