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107718912 = 283276679
BaseRepresentation
bin1100110101110…
…10100100000000
321111200200120100
412122322210000
5210034001122
614404442400
72445411210
oct632724400
9244620510
10107718912
11558938a4
12300a9400
1319417002
1410440240
1596cbaac
hex66ba900

107718912 has 108 divisors (see below), whose sum is σ = 355001920. Its totient is φ = 30772224.

The previous prime is 107718883. The next prime is 107718917. The reversal of 107718912 is 219817701.

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

It is not an unprimeable number, because it can be changed into a prime (107718917) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12789 + ... + 19467.

Almost surely, 2107718912 is an apocalyptic number.

107718912 is a gapful number since it is divisible by the number (12) 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 107718912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177500960).

107718912 is an abundant number, since it is smaller than the sum of its proper divisors (247283008).

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

107718912 is an equidigital number, since it uses as much as digits as its factorization.

107718912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 107718912 is about 10378.7721817178. The cubic root of 107718912 is about 475.8068090624.

It can be divided in two parts, 10771 and 8912, that added together give a 9-th power (19683 = 39).

The spelling of 107718912 in words is "one hundred seven million, seven hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 6679 8064 13358 16128 20037 26716 40074 46753 53432 60111 80148 93506 106864 120222 140259 160296 187012 213728 240444 280518 320592 374024 420777 427456 480888 561036 641184 748048 841554 854912 961776 1122072 1282368 1496096 1683108 1709824 1923552 2244144 2564736 2992192 3366216 3847104 4488288 5129472 5984384 6732432 7694208 8976576 11968768 13464864 15388416 17953152 26929728 35906304 53859456 107718912