Search a number
-
+
20783137 is a prime number
BaseRepresentation
bin100111101001…
…0000000100001
31110002220002211
41033102000201
520310030022
62021242121
7341440144
oct117220041
943086084
1020783137
1110805751
126b63341
1343c8a1b
142a9005b
151c57e77
hex13d2021

20783137 has 2 divisors, whose sum is σ = 20783138. Its totient is φ = 20783136.

The previous prime is 20783089. The next prime is 20783167. The reversal of 20783137 is 73138702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18352656 + 2430481 = 4284^2 + 1559^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20783137 is a prime.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 20783099 and 20783108.

It is not a weakly prime, because it can be changed into another prime (20783167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10391568 + 10391569.

It is an arithmetic number, because the mean of its divisors is an integer number (10391569).

Almost surely, 220783137 is an apocalyptic number.

It is an amenable number.

20783137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20783137 is an equidigital number, since it uses as much as digits as its factorization.

20783137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 20783137 is about 4558.8525968713. The cubic root of 20783137 is about 274.9394334937.

The spelling of 20783137 in words is "twenty million, seven hundred eighty-three thousand, one hundred thirty-seven".