Search a number
-
+
20736080 = 245259201
BaseRepresentation
bin100111100011…
…0100001010000
31110000111112222
41033012201100
520302023310
62020240212
7341153021
oct117064120
943014488
1020736080
1110783362
126b40068
1343b0491
142a7ac48
151c49055
hex13c6850

20736080 has 20 divisors (see below), whose sum is σ = 48211572. Its totient is φ = 8294400.

The previous prime is 20736077. The next prime is 20736083. The reversal of 20736080 is 8063702.

It is an interprime number because it is at equal distance from previous prime (20736077) and next prime (20736083).

It can be written as a sum of positive squares in 2 ways, for example, as 6927424 + 13808656 = 2632^2 + 3716^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20736083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129521 + ... + 129680.

Almost surely, 220736080 is an apocalyptic number.

20736080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20736080 is an abundant number, since it is smaller than the sum of its proper divisors (27475492).

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

20736080 is a wasteful number, since it uses less digits than its factorization.

20736080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259214 (or 259208 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 20736080 is about 4553.6886147386. The cubic root of 20736080 is about 274.7317715192.

Adding to 20736080 its reverse (8063702), we get a palindrome (28799782).

The spelling of 20736080 in words is "twenty million, seven hundred thirty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 259201 518402 1036804 1296005 2073608 2592010 4147216 5184020 10368040 20736080