Search a number
-
+
10677769 is a prime number
BaseRepresentation
bin101000101110…
…111000001001
3202002111010221
4220232320021
510213142034
61020510041
7156521344
oct50567011
922074127
1010677769
116033403
1236ab321
13229b20b
1415bd45b
15e0dbb4
hexa2ee09

10677769 has 2 divisors, whose sum is σ = 10677770. Its totient is φ = 10677768.

The previous prime is 10677757. The next prime is 10677781. The reversal of 10677769 is 96777601.

It is a happy number.

10677769 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10677757) and next prime (10677781).

It can be written as a sum of positive squares in only one way, i.e., 6697744 + 3980025 = 2588^2 + 1995^2 .

It is a cyclic number.

It is not a de Polignac number, because 10677769 - 213 = 10669577 is a prime.

It is a super-2 number, since 2×106777692 = 228029501634722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10677739) 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 as a sum of consecutive naturals, namely, 5338884 + 5338885.

It is an arithmetic number, because the mean of its divisors is an integer number (5338885).

Almost surely, 210677769 is an apocalyptic number.

It is an amenable number.

10677769 is a deficient number, since it is larger than the sum of its proper divisors (1).

10677769 is an equidigital number, since it uses as much as digits as its factorization.

10677769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 111132, while the sum is 43.

The square root of 10677769 is about 3267.6855723891. The cubic root of 10677769 is about 220.2048298961.

It can be divided in two parts, 1067 and 7769, that added together give a square (8836 = 942).

The spelling of 10677769 in words is "ten million, six hundred seventy-seven thousand, seven hundred sixty-nine".