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109167080 = 235111371811
BaseRepresentation
bin1101000000111…
…00000111101000
321121102021002012
412200130013220
5210421321310
614455455052
72463622241
oct640340750
9247367065
10109167080
1156692930
1230687488
1319803209
14106d9cc8
1598b5c05
hex681c1e8

109167080 has 64 divisors (see below), whose sum is σ = 270060480. Its totient is φ = 39385600.

The previous prime is 109167077. The next prime is 109167083. The reversal of 109167080 is 80761901.

It is an interprime number because it is at equal distance from previous prime (109167077) and next prime (109167083).

It is not an unprimeable number, because it can be changed into a prime (109167083) 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 15 ways as a sum of consecutive naturals, for example, 59375 + ... + 61185.

It is an arithmetic number, because the mean of its divisors is an integer number (4219695).

Almost surely, 2109167080 is an apocalyptic number.

109167080 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 109167080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135030240).

109167080 is an abundant number, since it is smaller than the sum of its proper divisors (160893400).

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

109167080 is a wasteful number, since it uses less digits than its factorization.

109167080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 109167080 is about 10448.3051257130. The cubic root of 109167080 is about 477.9295660183.

The spelling of 109167080 in words is "one hundred nine million, one hundred sixty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 220 274 440 548 685 1096 1370 1507 1811 2740 3014 3622 5480 6028 7244 7535 9055 12056 14488 15070 18110 19921 30140 36220 39842 60280 72440 79684 99605 159368 199210 248107 398420 496214 796840 992428 1240535 1984856 2481070 2729177 4962140 5458354 9924280 10916708 13645885 21833416 27291770 54583540 109167080