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109091808 = 25327531021
BaseRepresentation
bin1101000000010…
…01101111100000
321121021102211100
412200021233200
5210411414213
614454114400
72463156630
oct640115740
9247242740
10109091808
1156641321
123064ba00
13197a7b87
14106ba6c0
15989d773
hex6809be0

109091808 has 144 divisors (see below), whose sum is σ = 361591776. Its totient is φ = 30551040.

The previous prime is 109091803. The next prime is 109091813. The reversal of 109091808 is 808190901.

It is an interprime number because it is at equal distance from previous prime (109091803) and next prime (109091813).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109091803) 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 23 ways as a sum of consecutive naturals, for example, 106338 + ... + 107358.

It is an arithmetic number, because the mean of its divisors is an integer number (2511054).

Almost surely, 2109091808 is an apocalyptic number.

109091808 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 109091808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180795888).

109091808 is an abundant number, since it is smaller than the sum of its proper divisors (252499968).

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

109091808 is a wasteful number, since it uses less digits than its factorization.

109091808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 109091808 is about 10444.7023892498. The cubic root of 109091808 is about 477.8196947219.

The spelling of 109091808 in words is "one hundred nine million, ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1021 1113 1272 1484 1696 1908 2016 2042 2226 2544 2968 3063 3339 3816 4084 4452 5088 5936 6126 6678 7147 7632 8168 8904 9189 11872 12252 13356 14294 15264 16336 17808 18378 21441 24504 26712 28588 32672 35616 36756 42882 49008 53424 54113 57176 64323 73512 85764 98016 106848 108226 114352 128646 147024 162339 171528 216452 228704 257292 294048 324678 343056 378791 432904 487017 514584 649356 686112 757582 865808 974034 1029168 1136373 1298712 1515164 1731616 1948068 2058336 2272746 2597424 3030328 3409119 3896136 4545492 5194848 6060656 6818238 7792272 9090984 12121312 13636476 15584544 18181968 27272952 36363936 54545904 109091808