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20205540 = 22325112253
BaseRepresentation
bin100110100010…
…0111111100100
31102000112210100
41031010333210
520133034130
62001024100
7333513165
oct115047744
942015710
1020205540
11104507a3
126925030
134255b54
14297d76c
151b91c60
hex1344fe4

20205540 has 36 divisors (see below), whose sum is σ = 61290684. Its totient is φ = 5388096.

The previous prime is 20205533. The next prime is 20205541. The reversal of 20205540 is 4550202.

It can be written as a sum of positive squares in 2 ways, for example, as 4901796 + 15303744 = 2214^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (20205541) 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 11 ways as a sum of consecutive naturals, for example, 55947 + ... + 56306.

It is an arithmetic number, because the mean of its divisors is an integer number (1702519).

Almost surely, 220205540 is an apocalyptic number.

20205540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20205540 is an abundant number, since it is smaller than the sum of its proper divisors (41085144).

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

20205540 is a wasteful number, since it uses less digits than its factorization.

20205540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112268 (or 112263 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 20205540 is about 4495.0572855082. The cubic root of 20205540 is about 272.3684632964.

Adding to 20205540 its reverse (4550202), we get a palindrome (24755742).

The spelling of 20205540 in words is "twenty million, two hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 112253 224506 336759 449012 561265 673518 1010277 1122530 1347036 1683795 2020554 2245060 3367590 4041108 5051385 6735180 10102770 20205540