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2001000 = 233532329
BaseRepresentation
bin111101000100001101000
310202122212010
413220201220
51003013000
6110515520
723002551
oct7504150
93678763
102001000
111147421
12805ba0
13550a31
143a1328
15297d50
hex1e8868

2001000 has 128 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 492800.

The previous prime is 2000989. The next prime is 2001037. The reversal of 2001000 is 1002.

2001000 is nontrivially palindromic in base 9.

2001000 is a nontrivial binomial coefficient, being equal to C(2001, 2).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68986 + ... + 69014.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

22001000 is an apocalyptic number.

2001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2001000 is the 2000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369600).

2001000 is an abundant number, since it is smaller than the sum of its proper divisors (4738200).

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

2001000 is a wasteful number, since it uses less digits than its factorization.

2001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 2001000 is about 1414.5670715806. The cubic root of 2001000 is about 126.0131001748.

Adding to 2001000 its reverse (1002), we get a palindrome (2002002).

The spelling of 2001000 in words is "two million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 29 30 40 46 50 58 60 69 75 87 92 100 115 116 120 125 138 145 150 174 184 200 230 232 250 276 290 300 345 348 375 435 460 500 552 575 580 600 667 690 696 725 750 870 920 1000 1150 1160 1334 1380 1450 1500 1725 1740 2001 2175 2300 2668 2760 2875 2900 3000 3335 3450 3480 3625 4002 4350 4600 5336 5750 5800 6670 6900 7250 8004 8625 8700 10005 10875 11500 13340 13800 14500 16008 16675 17250 17400 20010 21750 23000 26680 29000 33350 34500 40020 43500 50025 66700 69000 80040 83375 87000 100050 133400 166750 200100 250125 333500 400200 500250 667000 1000500 2001000