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106646049 = 3217697033
BaseRepresentation
bin1100101101101…
…00101000100001
321102200011212200
412112310220201
5204300133144
614325443413
72433322266
oct626645041
9242604780
10106646049
1155220834
122b870569
131912c893
141024126d
159568c69
hex65b4a21

106646049 has 12 divisors (see below), whose sum is σ = 163105956. Its totient is φ = 66915072.

The previous prime is 106646027. The next prime is 106646053. The reversal of 106646049 is 940646601.

106646049 is a `hidden beast` number, since 1 + 0 + 6 + 646 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92448225 + 14197824 = 9615^2 + 3768^2 .

It is not a de Polignac number, because 106646049 - 28 = 106645793 is a prime.

It is a super-2 number, since 2×1066460492 = 22746759534620802, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106646249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348364 + ... + 348669.

It is an arithmetic number, because the mean of its divisors is an integer number (13592163).

Almost surely, 2106646049 is an apocalyptic number.

It is an amenable number.

106646049 is a deficient number, since it is larger than the sum of its proper divisors (56459907).

106646049 is a wasteful number, since it uses less digits than its factorization.

106646049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697056 (or 697053 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106646049 is about 10326.9573931531. The cubic root of 106646049 is about 474.2218824462.

The spelling of 106646049 in words is "one hundred six million, six hundred forty-six thousand, forty-nine".

Divisors: 1 3 9 17 51 153 697033 2091099 6273297 11849561 35548683 106646049