Search a number
-
+
106782733 is a prime number
BaseRepresentation
bin1100101110101…
…10000000001101
321102221010101001
412113112000031
5204314021413
614332420301
72434431631
oct627260015
9242833331
10106782733
11553044a2
122b917691
1319179b65
1410278dc1
1595944dd
hex65d600d

106782733 has 2 divisors, whose sum is σ = 106782734. Its totient is φ = 106782732.

The previous prime is 106782713. The next prime is 106782769. The reversal of 106782733 is 337287601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65334889 + 41447844 = 8083^2 + 6438^2 .

It is a cyclic number.

It is not a de Polignac number, because 106782733 - 213 = 106774541 is a prime.

It is a super-2 number, since 2×1067827332 = 22805104133898578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106782692 and 106782701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106782713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53391366 + 53391367.

It is an arithmetic number, because the mean of its divisors is an integer number (53391367).

Almost surely, 2106782733 is an apocalyptic number.

It is an amenable number.

106782733 is a deficient number, since it is larger than the sum of its proper divisors (1).

106782733 is an equidigital number, since it uses as much as digits as its factorization.

106782733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 106782733 is about 10333.5730993689. The cubic root of 106782733 is about 474.4243930636.

The spelling of 106782733 in words is "one hundred six million, seven hundred eighty-two thousand, seven hundred thirty-three".