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2081000 = 23532081
BaseRepresentation
bin111111100000011101000
310220201121002
413330003220
51013043000
6112334132
723455025
oct7740350
93821532
102081000
1111a1539
12844348
1357b27c
143c254c
152b18d5
hex1fc0e8

2081000 has 32 divisors (see below), whose sum is σ = 4871880. Its totient is φ = 832000.

The previous prime is 2080979. The next prime is 2081029. The reversal of 2081000 is 1802.

It can be written as a sum of positive squares in 4 ways, for example, as 498436 + 1582564 = 706^2 + 1258^2 .

It is a super-2 number, since 2×20810002 = 8661122000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41 + ... + 2040.

22081000 is an apocalyptic number.

2081000 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 2081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435940).

2081000 is an abundant number, since it is smaller than the sum of its proper divisors (2790880).

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

2081000 is a wasteful number, since it uses less digits than its factorization.

2081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2081000 is about 1442.5671561491. The cubic root of 2081000 is about 127.6705394443.

Adding to 2081000 its reverse (1802), we get a palindrome (2082802).

The spelling of 2081000 in words is "two million, eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2081 4162 8324 10405 16648 20810 41620 52025 83240 104050 208100 260125 416200 520250 1040500 2081000