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2020800 = 26352421
BaseRepresentation
bin111101101010111000000
310210200000110
413231113000
51004131200
6111151320
723114355
oct7552700
93720013
102020800
111160291
12815540
13559a52
143a862c
1529db50
hex1ed5c0

2020800 has 84 divisors (see below), whose sum is σ = 6645656. Its totient is φ = 537600.

The previous prime is 2020793. The next prime is 2020817. The reversal of 2020800 is 80202.

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

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4590 + ... + 5010.

22020800 is an apocalyptic number.

2020800 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 2020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322828).

2020800 is an abundant number, since it is smaller than the sum of its proper divisors (4624856).

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

2020800 is a wasteful number, since it uses less digits than its factorization.

With its successor (2020801) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (431).

2020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

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

The square root of 2020800 is about 1421.5484515133. The cubic root of 2020800 is about 126.4273721632.

The spelling of 2020800 in words is "two million, twenty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 421 480 600 800 842 960 1200 1263 1600 1684 2105 2400 2526 3368 4210 4800 5052 6315 6736 8420 10104 10525 12630 13472 16840 20208 21050 25260 26944 31575 33680 40416 42100 50520 63150 67360 80832 84200 101040 126300 134720 168400 202080 252600 336800 404160 505200 673600 1010400 2020800