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20201020 = 2257313461
BaseRepresentation
bin100110100001…
…1111000111100
31102000022120221
41031003320330
520132413040
62000551124
7333464050
oct115037074
942008527
1020201020
1110448364
1269224a4
134253a88
14297bc60
151b9074a
hex1343e3c

20201020 has 48 divisors (see below), whose sum is σ = 48742848. Its totient is φ = 6888960.

The previous prime is 20200993. The next prime is 20201021. The reversal of 20201020 is 2010202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 20200994 and 20201012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43590 + ... + 44050.

It is an arithmetic number, because the mean of its divisors is an integer number (1015476).

Almost surely, 220201020 is an apocalyptic number.

20201020 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 20201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371424).

20201020 is an abundant number, since it is smaller than the sum of its proper divisors (28541828).

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

20201020 is a wasteful number, since it uses less digits than its factorization.

20201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 20201020 is about 4494.5544829271. The cubic root of 20201020 is about 272.3481520804.

Adding to 20201020 its reverse (2010202), we get a palindrome (22211222).

The spelling of 20201020 in words is "twenty million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 313 461 626 922 1252 1565 1844 2191 2305 3130 3227 4382 4610 6260 6454 8764 9220 10955 12908 16135 21910 32270 43820 64540 144293 288586 577172 721465 1010051 1442930 2020102 2885860 4040204 5050255 10100510 20201020