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109308160 = 285136569
BaseRepresentation
bin1101000001111…
…10100100000000
321121200102121101
412200332210000
5210440330120
614502504144
72465050453
oct640764400
9247612541
10109308160
1156779925
1230735054
13198524b0
141073549a
1598e290a
hex683e900

109308160 has 72 divisors (see below), whose sum is σ = 282010680. Its totient is φ = 40353792.

The previous prime is 109308149. The next prime is 109308169. The reversal of 109308160 is 61803901.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13424896 + 95883264 = 3664^2 + 9792^2 .

It is not an unprimeable number, because it can be changed into a prime (109308169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13356 + ... + 19924.

It is an arithmetic number, because the mean of its divisors is an integer number (3916815).

Almost surely, 2109308160 is an apocalyptic number.

109308160 is a gapful number since it is divisible by the number (10) 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 109308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141005340).

109308160 is an abundant number, since it is smaller than the sum of its proper divisors (172702520).

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

109308160 is an equidigital number, since it uses as much as digits as its factorization.

109308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 109308160 is about 10455.0542801078. The cubic root of 109308160 is about 478.1353584553.

The spelling of 109308160 in words is "one hundred nine million, three hundred eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 6569 8320 13138 16640 26276 32845 52552 65690 85397 105104 131380 170794 210208 262760 341588 420416 426985 525520 683176 840832 853970 1051040 1366352 1681664 1707940 2102080 2732704 3415880 4204160 5465408 6831760 8408320 10930816 13663520 21861632 27327040 54654080 109308160