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20505060 = 22325176701
BaseRepresentation
bin100111000111…
…0000111100100
31102120202122200
41032032013210
520222130220
62011254500
7336201342
oct116160744
942522580
1020505060
1110635834
126a4a430
13432c294
142a1a992
151c00890
hex138e1e4

20505060 has 72 divisors (see below), whose sum is σ = 65867256. Its totient is φ = 5145600.

The previous prime is 20505049. The next prime is 20505083. The reversal of 20505060 is 6050502.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 17089956 = 1848^2 + 4134^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291 + ... + 6410.

It is an arithmetic number, because the mean of its divisors is an integer number (914823).

Almost surely, 220505060 is an apocalyptic number.

20505060 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 20505060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32933628).

20505060 is an abundant number, since it is smaller than the sum of its proper divisors (45362196).

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

20505060 is a wasteful number, since it uses less digits than its factorization.

20505060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20505060 is about 4528.2513181139. The cubic root of 20505060 is about 273.7076997254.

Adding to 20505060 its reverse (6050502), we get a palindrome (26555562).

The spelling of 20505060 in words is "twenty million, five hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6701 13402 20103 26804 33505 40206 60309 67010 80412 100515 113917 120618 134020 201030 227834 241236 301545 341751 402060 455668 569585 603090 683502 1025253 1139170 1206180 1367004 1708755 2050506 2278340 3417510 4101012 5126265 6835020 10252530 20505060