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107366742 = 2337240577
BaseRepresentation
bin1100110011001…
…00100101010110
321111000210111000
412121210211112
5204441213432
614353124130
72442413400
oct631444526
9244023430
10107366742
115567324a
122bb59646
1319322922
141038bb70
15965c57c
hex6664956

107366742 has 48 divisors (see below), whose sum is σ = 277553520. Its totient is φ = 30675456.

The previous prime is 107366719. The next prime is 107366759. The reversal of 107366742 is 247663701.

It is a junction number, because it is equal to n+sod(n) for n = 107366697 and 107366706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17643 + ... + 22934.

It is an arithmetic number, because the mean of its divisors is an integer number (5782365).

Almost surely, 2107366742 is an apocalyptic number.

107366742 is an abundant number, since it is smaller than the sum of its proper divisors (170186778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107366742 is a wasteful number, since it uses less digits than its factorization.

107366742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40602 (or 40589 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 107366742 is about 10361.7924125124. The cubic root of 107366742 is about 475.2877178393.

The spelling of 107366742 in words is "one hundred seven million, three hundred sixty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 40577 81154 121731 243462 284039 365193 568078 730386 852117 1095579 1704234 1988273 2191158 2556351 3976546 5112702 5964819 7669053 11929638 15338106 17894457 35788914 53683371 107366742