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108080000 = 27547193
BaseRepresentation
bin1100111000100…
…10101110000000
321112101000212222
412130102232000
5210132030000
614420310212
72451444020
oct634225600
9245330788
10108080000
1156010116
1230242368
1319512482
14104d5a80
15974da85
hex6712b80

108080000 has 160 divisors (see below), whose sum is σ = 309088560. Its totient is φ = 36864000.

The previous prime is 108079943. The next prime is 108080003. The reversal of 108080000 is 80801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108080003) 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 19 ways as a sum of consecutive naturals, for example, 559904 + ... + 560096.

Almost surely, 2108080000 is an apocalyptic number.

108080000 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 108080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154544280).

108080000 is an abundant number, since it is smaller than the sum of its proper divisors (201008560).

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

108080000 is an frugal number, since it uses more digits than its factorization.

108080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 108080000 is about 10396.1531346936. The cubic root of 108080000 is about 476.3378718321.

The spelling of 108080000 in words is "one hundred eight million, eighty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 193 200 224 250 280 320 350 386 400 448 500 560 625 640 700 772 800 875 896 965 1000 1120 1250 1351 1400 1544 1600 1750 1930 2000 2240 2500 2702 2800 3088 3200 3500 3860 4000 4375 4480 4825 5000 5404 5600 6176 6755 7000 7720 8000 8750 9650 10000 10808 11200 12352 13510 14000 15440 16000 17500 19300 20000 21616 22400 24125 24704 27020 28000 30880 33775 35000 38600 40000 43232 48250 54040 56000 61760 67550 70000 77200 80000 86464 96500 108080 112000 120625 123520 135100 140000 154400 168875 172928 193000 216160 241250 270200 280000 308800 337750 386000 432320 482500 540400 560000 617600 675500 772000 844375 864640 965000 1080800 1351000 1544000 1688750 1930000 2161600 2702000 3088000 3377500 3860000 4323200 5404000 6755000 7720000 10808000 13510000 15440000 21616000 27020000 54040000 108080000