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20200500 = 223253672
BaseRepresentation
bin100110100001…
…1110000110100
31102000021212200
41031003300310
520132404000
62000544500
7333462405
oct115036064
942007780
1020200500
1110447a31
126922130
134253778
14297b9ac
151b90500
hex1343c34

20200500 has 108 divisors (see below), whose sum is σ = 64691172. Its totient is φ = 5306400.

The previous prime is 20200441. The next prime is 20200511. The reversal of 20200500 is 500202.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 19554084 = 804^2 + 4422^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 301467 + ... + 301533.

Almost surely, 220200500 is an apocalyptic number.

20200500 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 20200500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32345586).

20200500 is an abundant number, since it is smaller than the sum of its proper divisors (44490672).

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

20200500 is a wasteful number, since it uses less digits than its factorization.

20200500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 20200500 is about 4494.4966347746. The cubic root of 20200500 is about 272.3458151975.

Multiplying 20200500 by its product of nonzero digits (20), we get a square (404010000 = 201002).

20200500 divided by its product of nonzero digits (20) gives a square (1010025 = 10052).

Adding to 20200500 its reverse (500202), we get a palindrome (20700702).

The spelling of 20200500 in words is "twenty million, two hundred thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 67 75 90 100 125 134 150 180 201 225 250 268 300 335 375 402 450 500 603 670 750 804 900 1005 1125 1206 1340 1500 1675 2010 2250 2412 3015 3350 4020 4489 4500 5025 6030 6700 8375 8978 10050 12060 13467 15075 16750 17956 20100 22445 25125 26934 30150 33500 40401 44890 50250 53868 60300 67335 75375 80802 89780 100500 112225 134670 150750 161604 202005 224450 269340 301500 336675 404010 448900 561125 673350 808020 1010025 1122250 1346700 1683375 2020050 2244500 3366750 4040100 5050125 6733500 10100250 20200500