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2001300 = 223527953
BaseRepresentation
bin111101000100110010100
310202200021020
413220212110
51003020200
6110521140
723003460
oct7504624
93680236
102001300
111147674
128061b0
13550c02
143a14a0
15297ea0
hex1e8994

2001300 has 72 divisors (see below), whose sum is σ = 6624576. Its totient is φ = 456960.

The previous prime is 2001281. The next prime is 2001313. The reversal of 2001300 is 31002.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1624 + ... + 2576.

It is an arithmetic number, because the mean of its divisors is an integer number (92008).

22001300 is an apocalyptic number.

2001300 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 2001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312288).

2001300 is an abundant number, since it is smaller than the sum of its proper divisors (4623276).

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

2001300 is a wasteful number, since it uses less digits than its factorization.

2001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 2001300 is about 1414.6731071170. The cubic root of 2001300 is about 126.0193973664.

Adding to 2001300 its reverse (31002), we get a palindrome (2032302).

The spelling of 2001300 in words is "two million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 953 1050 1906 2100 2859 3812 4765 5718 6671 9530 11436 13342 14295 19060 20013 23825 26684 28590 33355 40026 47650 57180 66710 71475 80052 95300 100065 133420 142950 166775 200130 285900 333550 400260 500325 667100 1000650 2001300