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107327935 = 51113374057
BaseRepresentation
bin1100110010110…
…11000110111111
321110221211020201
412121123012333
5204433443220
614352224331
72442162301
oct631330677
9243854221
10107327935
1155647080
122bb3b0a7
131930b070
141037b971
159650d0a
hex665b1bf

107327935 has 32 divisors (see below), whose sum is σ = 155437632. Its totient is φ = 70087680.

The previous prime is 107327929. The next prime is 107327939. The reversal of 107327935 is 539723701.

It is not a de Polignac number, because 107327935 - 27 = 107327807 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107327894 and 107327903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107327939) 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 31 ways as a sum of consecutive naturals, for example, 24427 + ... + 28483.

It is an arithmetic number, because the mean of its divisors is an integer number (4857426).

Almost surely, 2107327935 is an apocalyptic number.

107327935 is a deficient number, since it is larger than the sum of its proper divisors (48109697).

107327935 is a wasteful number, since it uses less digits than its factorization.

107327935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123.

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 107327935 is about 10359.9196425455. The cubic root of 107327935 is about 475.2304477363.

The spelling of 107327935 in words is "one hundred seven million, three hundred twenty-seven thousand, nine hundred thirty-five".

Divisors: 1 5 11 13 37 55 65 143 185 407 481 715 2035 2405 4057 5291 20285 26455 44627 52741 150109 223135 263705 580151 750545 1651199 1951417 2900755 8255995 9757085 21465587 107327935