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106376949 = 337562841
BaseRepresentation
bin1100101011100…
…10111011110101
321102011111202000
412111302323311
5204213030244
614320005513
72431121610
oct625627365
9242144660
10106376949
1155057638
122b760899
1319067253
14101b1177
159514169
hex6572ef5

106376949 has 16 divisors (see below), whose sum is σ = 180109440. Its totient is φ = 60786720.

The previous prime is 106376947. The next prime is 106376951. The reversal of 106376949 is 949673601.

106376949 is a `hidden beast` number, since 1 + 0 + 637 + 6 + 9 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (106376947) and next prime (106376951).

It is not a de Polignac number, because 106376949 - 21 = 106376947 is a prime.

It is a super-2 number, since 2×1063769492 = 22632110557097202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106376947) 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 15 ways as a sum of consecutive naturals, for example, 281232 + ... + 281609.

It is an arithmetic number, because the mean of its divisors is an integer number (11256840).

Almost surely, 2106376949 is an apocalyptic number.

It is an amenable number.

106376949 is a deficient number, since it is larger than the sum of its proper divisors (73732491).

106376949 is an equidigital number, since it uses as much as digits as its factorization.

106376949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562857 (or 562851 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 106376949 is about 10313.9201567590. The cubic root of 106376949 is about 473.8226784254.

The spelling of 106376949 in words is "one hundred six million, three hundred seventy-six thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 189 562841 1688523 3939887 5065569 11819661 15196707 35458983 106376949