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20643000 = 233537983
BaseRepresentation
bin100111010111…
…1110010111000
31102211202212120
41032233302320
520241034000
62014241240
7340314450
oct116576270
942752776
1020643000
111071a434
126ab6220
134379cc1
142a54d60
151c2b6a0
hex13afcb8

20643000 has 128 divisors (see below), whose sum is σ = 73681920. Its totient is φ = 4713600.

The previous prime is 20642971. The next prime is 20643043. The reversal of 20643000 is 34602.

It is a super-2 number, since 2×206430002 = 852266898000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 20509 + ... + 21491.

It is an arithmetic number, because the mean of its divisors is an integer number (575640).

Almost surely, 220643000 is an apocalyptic number.

20643000 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 20643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36840960).

20643000 is an abundant number, since it is smaller than the sum of its proper divisors (53038920).

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

20643000 is a wasteful number, since it uses less digits than its factorization.

20643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20643000 is about 4543.4568337335. The cubic root of 20643000 is about 274.3200834288.

Adding to 20643000 its reverse (34602), we get a palindrome (20677602).

The spelling of 20643000 in words is "twenty million, six hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 983 1000 1050 1400 1500 1750 1966 2100 2625 2949 3000 3500 3932 4200 4915 5250 5898 6881 7000 7864 9830 10500 11796 13762 14745 19660 20643 21000 23592 24575 27524 29490 34405 39320 41286 49150 55048 58980 68810 73725 82572 98300 103215 117960 122875 137620 147450 165144 172025 196600 206430 245750 275240 294900 344050 368625 412860 491500 516075 589800 688100 737250 825720 860125 983000 1032150 1376200 1474500 1720250 2064300 2580375 2949000 3440500 4128600 5160750 6881000 10321500 20643000