Search a number
-
+
20305181 = 132137877
BaseRepresentation
bin100110101110…
…1010100011101
31102012121110202
41031131110131
520144231211
62003113245
7334406531
oct115352435
942177422
1020305181
1110509646
126972825
13428c300
1429a7bc1
151bb153b
hex135d51d

20305181 has 12 divisors (see below), whose sum is σ = 22173012. Its totient is φ = 18585216.

The previous prime is 20305171. The next prime is 20305189. The reversal of 20305181 is 18150302.

It can be written as a sum of positive squares in 6 ways, for example, as 502681 + 19802500 = 709^2 + 4450^2 .

It is not a de Polignac number, because 20305181 - 214 = 20288797 is a prime.

It is a super-2 number, since 2×203051812 = 824600750885522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20305189) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22715 + ... + 23591.

It is an arithmetic number, because the mean of its divisors is an integer number (1847751).

Almost surely, 220305181 is an apocalyptic number.

It is an amenable number.

20305181 is a deficient number, since it is larger than the sum of its proper divisors (1867831).

20305181 is a wasteful number, since it uses less digits than its factorization.

20305181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 20305181 is about 4506.1270510273. The cubic root of 20305181 is about 272.8154459382.

Adding to 20305181 its reverse (18150302), we get a palindrome (38455483).

The spelling of 20305181 in words is "twenty million, three hundred five thousand, one hundred eighty-one".

Divisors: 1 13 137 169 877 1781 11401 23153 120149 148213 1561937 20305181