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2000820 = 223533347
BaseRepresentation
bin111101000011110110100
310202122121110
413220132310
51003011240
6110515020
723002203
oct7503664
93678543
102000820
111147278
12805a70
13550923
143a123a
15297c80
hex1e87b4

2000820 has 24 divisors (see below), whose sum is σ = 5602464. Its totient is φ = 533536.

The previous prime is 2000813. The next prime is 2000863. The reversal of 2000820 is 280002.

It is a Harshad number since it is a multiple of its sum of digits (12).

2000820 is a modest number, since divided by 820 gives 20 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2000796 and 2000805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16614 + ... + 16733.

It is an arithmetic number, because the mean of its divisors is an integer number (233436).

22000820 is an apocalyptic number.

2000820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000820 is an abundant number, since it is smaller than the sum of its proper divisors (3601644).

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

2000820 is a wasteful number, since it uses less digits than its factorization.

2000820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33359 (or 33357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2000820 is about 1414.5034464433. The cubic root of 2000820 is about 126.0093215578.

Adding to 2000820 its reverse (280002), we get a palindrome (2280822).

The spelling of 2000820 in words is "two million, eight hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 33347 66694 100041 133388 166735 200082 333470 400164 500205 666940 1000410 2000820