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7106 = 2111719
BaseRepresentation
bin1101111000010
3100202012
41233002
5211411
652522
726501
oct15702
910665
107106
115380
124142
133308
142838
15218b
hex1bc2

7106 has 16 divisors (see below), whose sum is σ = 12960. Its totient is φ = 2880.

The previous prime is 7103. The next prime is 7109. The reversal of 7106 is 6017.

7106 = T20 + T21 + ... + T36.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7103) and next prime (7109).

It is not an unprimeable number, because it can be changed into a prime (7103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

27106 is an apocalyptic number.

7106 is a deficient number, since it is larger than the sum of its proper divisors (5854).

7106 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (7105) it forms an eRAP, since the sums of their prime factors are consecutive (48 and 49).

7106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 7106 is about 84.2970936628. The cubic root of 7106 is about 19.2253859804.

Subtracting from 7106 its reverse (6017), we obtain a square (1089 = 332).

The spelling of 7106 in words is "seven thousand, one hundred six".

Divisors: 1 2 11 17 19 22 34 38 187 209 323 374 418 646 3553 7106