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107299818 = 232171093217
BaseRepresentation
bin1100110010101…
…00001111101010
321110220101200100
412121110033222
5204432043233
614351450230
72442014313
oct631241752
9243811610
10107299818
1155627a3a
122bb26976
13192cb322
141037160a
159647813
hex66543ea

107299818 has 48 divisors (see below), whose sum is σ = 248493960. Its totient is φ = 33343488.

The previous prime is 107299811. The next prime is 107299831. The reversal of 107299818 is 818992701.

It can be written as a sum of positive squares in 4 ways, for example, as 106440489 + 859329 = 10317^2 + 927^2 .

It is not an unprimeable number, because it can be changed into a prime (107299811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31746 + ... + 34962.

Almost surely, 2107299818 is an apocalyptic number.

107299818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107299818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124246980).

107299818 is an abundant number, since it is smaller than the sum of its proper divisors (141194142).

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

107299818 is a wasteful number, since it uses less digits than its factorization.

107299818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 107299818 is about 10358.5625450639. The cubic root of 107299818 is about 475.1889449610.

It can be divided in two parts, 107 and 299818, that added together give a triangular number (299925 = T774).

The spelling of 107299818 in words is "one hundred seven million, two hundred ninety-nine thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1853 1962 3217 3706 5559 6434 9651 11118 16677 19302 28953 33354 54689 57906 109378 164067 328134 350653 492201 701306 984402 1051959 2103918 3155877 5961101 6311754 11922202 17883303 35766606 53649909 107299818