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20472820 = 2256197173
BaseRepresentation
bin100111000011…
…0001111110100
31102112010102121
41032012033310
520220112240
62010445324
7336005344
oct116061764
942463377
1020472820
1110613595
126a33844
13431a6c4
142a0cd24
151be604a
hex13863f4

20472820 has 48 divisors (see below), whose sum is σ = 44403408. Its totient is φ = 7925760.

The previous prime is 20472797. The next prime is 20472821. The reversal of 20472820 is 2827402.

It can be written as a sum of positive squares in 8 ways, for example, as 509796 + 19963024 = 714^2 + 4468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20472821) 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, 118254 + ... + 118426.

It is an arithmetic number, because the mean of its divisors is an integer number (925071).

Almost surely, 220472820 is an apocalyptic number.

20472820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20472820 is an abundant number, since it is smaller than the sum of its proper divisors (23930588).

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

20472820 is a wasteful number, since it uses less digits than its factorization.

20472820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 20472820 is about 4524.6900446329. The cubic root of 20472820 is about 273.5641747434.

The spelling of 20472820 in words is "twenty million, four hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 61 97 122 173 194 244 305 346 388 485 610 692 865 970 1220 1730 1940 3460 5917 10553 11834 16781 21106 23668 29585 33562 42212 52765 59170 67124 83905 105530 118340 167810 211060 335620 1023641 2047282 4094564 5118205 10236410 20472820