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107247168 = 2632767397
BaseRepresentation
bin1100110010001…
…11011001000000
321110210201110100
412121013121000
5204423402133
614350402400
72441404650
oct631073100
9243721410
10107247168
11555a1426
122bb00400
13192b0382
141035a360
159636e13
hex6647640

107247168 has 168 divisors, whose sum is σ = 357461312. Its totient is φ = 30108672.

The previous prime is 107247149. The next prime is 107247181. The reversal of 107247168 is 861742701.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269946 + ... + 270342.

Almost surely, 2107247168 is an apocalyptic number.

107247168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178730656).

107247168 is an abundant number, since it is smaller than the sum of its proper divisors (250214144).

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

107247168 is a wasteful number, since it uses less digits than its factorization.

107247168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 107247168 is about 10356.0208574529. The cubic root of 107247168 is about 475.1112101565. Note that the first 3 decimals are identical.

Adding to 107247168 its reverse (861742701), we get a palindrome (968989869).

The spelling of 107247168 in words is "one hundred seven million, two hundred forty-seven thousand, one hundred sixty-eight".