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107568 = 243483
BaseRepresentation
bin11010010000110000
312110120000
4122100300
511420233
62150000
7625416
oct322060
9173500
10107568
11738aa
1252300
1339c66
142b2b6
1521d13
hex1a430

107568 has 50 divisors (see below), whose sum is σ = 315084. Its totient is φ = 35424.

The previous prime is 107563. The next prime is 107581. The reversal of 107568 is 865701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107563) by changing a digit.

107568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1255 + ... + 1337.

2107568 is an apocalyptic number.

107568 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 107568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157542).

107568 is an abundant number, since it is smaller than the sum of its proper divisors (207516).

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

107568 is an equidigital number, since it uses as much as digits as its factorization.

107568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 107568 is about 327.9756088492. The cubic root of 107568 is about 47.5584506669.

The spelling of 107568 in words is "one hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 249 324 332 432 498 648 664 747 996 1296 1328 1494 1992 2241 2988 3984 4482 5976 6723 8964 11952 13446 17928 26892 35856 53784 107568