Search a number
-
+
20530000 = 24542053
BaseRepresentation
bin100111001010…
…0001101010000
31102122000212101
41032110031100
520223430000
62012010144
7336334141
oct116241520
942560771
1020530000
1110652547
126a60954
13433a73a
142a25ac8
151c07e6a
hex1394350

20530000 has 50 divisors (see below), whose sum is σ = 49729394. Its totient is φ = 8208000.

The previous prime is 20529991. The next prime is 20530019. The reversal of 20530000 is 3502.

It can be written as a sum of positive squares in 5 ways, for example, as 7884864 + 12645136 = 2808^2 + 3556^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8974 + ... + 11026.

Almost surely, 220530000 is an apocalyptic number.

20530000 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 20530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24864697).

20530000 is an abundant number, since it is smaller than the sum of its proper divisors (29199394).

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

20530000 is an equidigital number, since it uses as much as digits as its factorization.

20530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 20530000 is about 4531.0043036837. The cubic root of 20530000 is about 273.8186236361.

Adding to 20530000 its reverse (3502), we get a palindrome (20533502).

The spelling of 20530000 in words is "twenty million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2053 2500 4106 5000 8212 10000 10265 16424 20530 32848 41060 51325 82120 102650 164240 205300 256625 410600 513250 821200 1026500 1283125 2053000 2566250 4106000 5132500 10265000 20530000