Search a number
-
+
20862000 = 2432531961
BaseRepresentation
bin100111110010…
…1010000110000
31110020220021200
41033211100300
520320041000
62023051200
7342216105
oct117452060
943226250
1020862000
1110859a25
126ba0b00
1344258a3
142ab0aac
151c71500
hex13e5430

20862000 has 240 divisors, whose sum is σ = 77956320. Its totient is φ = 5184000.

The previous prime is 20861999. The next prime is 20862007. The reversal of 20862000 is 26802.

It is a tau number, because it is divible by the number of its divisors (240).

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 (20862007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 341970 + ... + 342030.

It is an arithmetic number, because the mean of its divisors is an integer number (324818).

Almost surely, 220862000 is an apocalyptic number.

20862000 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 20862000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38978160).

20862000 is an abundant number, since it is smaller than the sum of its proper divisors (57094320).

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

20862000 is a wasteful number, since it uses less digits than its factorization.

20862000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20862000 is about 4567.4938423604. The cubic root of 20862000 is about 275.2867532289.

Adding to 20862000 its reverse (26802), we get a palindrome (20888802).

The spelling of 20862000 in words is "twenty million, eight hundred sixty-two thousand".