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106786413 = 3231382747
BaseRepresentation
bin1100101110101…
…10111001101101
321102221022102100
412113112321231
5204314131123
614332445313
72434445436
oct627267155
9242838370
10106786413
1155307238
122b919839
131917b736
141027a48d
159595643
hex65d6e6d

106786413 has 12 divisors (see below), whose sum is σ = 159223168. Its totient is φ = 68894280.

The previous prime is 106786399. The next prime is 106786423. The reversal of 106786413 is 314687601.

106786413 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 8 + 641 + 3 = 666.

It is not a de Polignac number, because 106786413 - 216 = 106720877 is a prime.

It is a super-2 number, since 2×1067864132 = 22806676002813138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106786423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191095 + ... + 191652.

Almost surely, 2106786413 is an apocalyptic number.

It is an amenable number.

106786413 is a deficient number, since it is larger than the sum of its proper divisors (52436755).

106786413 is a wasteful number, since it uses less digits than its factorization.

106786413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382784 (or 382781 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106786413 is about 10333.7511582194. The cubic root of 106786413 is about 474.4298429513.

The spelling of 106786413 in words is "one hundred six million, seven hundred eighty-six thousand, four hundred thirteen".

Divisors: 1 3 9 31 93 279 382747 1148241 3444723 11865157 35595471 106786413