Search a number
-
+
20018000 = 245310009
BaseRepresentation
bin100110001011…
…1001101010000
31101200000112102
41030113031100
520111034000
61553015532
7332102342
oct114271520
941600472
1020018000
1110332902
1268545a8
1341bb692
142931292
151b563d5
hex1317350

20018000 has 40 divisors (see below), whose sum is σ = 48408360. Its totient is φ = 8006400.

The previous prime is 20017997. The next prime is 20018017. The reversal of 20018000 is 81002.

It can be written as a sum of positive squares in 4 ways, for example, as 446224 + 19571776 = 668^2 + 4424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3005 + ... + 7004.

It is an arithmetic number, because the mean of its divisors is an integer number (1210209).

Almost surely, 220018000 is an apocalyptic number.

20018000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20018000 is an abundant number, since it is smaller than the sum of its proper divisors (28390360).

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

20018000 is a wasteful number, since it uses less digits than its factorization.

20018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 20018000 is about 4474.1479635792. The cubic root of 20018000 is about 271.5231697704.

Adding to 20018000 its reverse (81002), we get a palindrome (20099002).

It can be divided in two parts, 2001 and 8000, that added together give a palindrome (10001).

The spelling of 20018000 in words is "twenty million, eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10009 20018 40036 50045 80072 100090 160144 200180 250225 400360 500450 800720 1000900 1251125 2001800 2502250 4003600 5004500 10009000 20018000