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2041000 = 235313157
BaseRepresentation
bin111110010010010101000
310211200201121
413302102220
51010303000
6111425024
723230303
oct7622250
93750647
102041000
111174485
12825174
13565cc0
143b1b3a
152a4b1a
hex1f24a8

2041000 has 64 divisors (see below), whose sum is σ = 5176080. Its totient is φ = 748800.

The previous prime is 2040989. The next prime is 2041001. The reversal of 2041000 is 1402.

It can be written as a sum of positive squares in 8 ways, for example, as 30276 + 2010724 = 174^2 + 1418^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12922 + ... + 13078.

22041000 is an apocalyptic number.

2041000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588040).

2041000 is an abundant number, since it is smaller than the sum of its proper divisors (3135080).

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

2041000 is a wasteful number, since it uses less digits than its factorization.

2041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2041000 is about 1428.6357128394. The cubic root of 2041000 is about 126.8472340091.

Adding to 2041000 its reverse (1402), we get a palindrome (2042402).

The spelling of 2041000 in words is "two million, forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 157 200 250 260 314 325 500 520 628 650 785 1000 1256 1300 1570 1625 2041 2600 3140 3250 3925 4082 6280 6500 7850 8164 10205 13000 15700 16328 19625 20410 31400 39250 40820 51025 78500 81640 102050 157000 204100 255125 408200 510250 1020500 2041000