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106928 = 2441163
BaseRepresentation
bin11010000110110000
312102200022
4122012300
511410203
62143012
7623513
oct320660
9172608
10106928
1173378
1251a68
1339893
142ad7a
1521a38
hex1a1b0

106928 has 20 divisors (see below), whose sum is σ = 213528. Its totient is φ = 51840.

The previous prime is 106921. The next prime is 106937. The reversal of 106928 is 829601.

106928 is nontrivially palindromic in base 13.

It is a Cunningham number, because it is equal to 3272-1.

It is a super-2 number, since 2×1069282 = 22867194368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106897 and 106906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106921) by changing a digit.

106928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 575 + ... + 737.

2106928 is an apocalyptic number.

It is an amenable number.

106928 is a deficient number, since it is larger than the sum of its proper divisors (106600).

106928 is a wasteful number, since it uses less digits than its factorization.

106928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106928 is about 326.9984709444. The cubic root of 106928 is about 47.4639430888.

The spelling of 106928 in words is "one hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 41 82 163 164 326 328 652 656 1304 2608 6683 13366 26732 53464 106928