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108027720 = 233251092753
BaseRepresentation
bin1100111000001…
…01111101001000
321112021101011200
412130011331020
5210123341340
614415224200
72451135423
oct634057510
9245241150
10108027720
1155a84909
1230218060
13194c4738
14104c09ba
15973d330
hex6705f48

108027720 has 96 divisors (see below), whose sum is σ = 354439800. Its totient is φ = 28532736.

The previous prime is 108027719. The next prime is 108027763. The reversal of 108027720 is 27720801.

It can be written as a sum of positive squares in 4 ways, for example, as 106874244 + 1153476 = 10338^2 + 1074^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37864 + ... + 40616.

Almost surely, 2108027720 is an apocalyptic number.

108027720 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 108027720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177219900).

108027720 is an abundant number, since it is smaller than the sum of its proper divisors (246412080).

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

108027720 is a wasteful number, since it uses less digits than its factorization.

108027720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 108027720 is about 10393.6384389683. The cubic root of 108027720 is about 476.2610553988.

The spelling of 108027720 in words is "one hundred eight million, twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1308 1635 1962 2180 2616 2753 3270 3924 4360 4905 5506 6540 7848 8259 9810 11012 13080 13765 16518 19620 22024 24777 27530 33036 39240 41295 49554 55060 66072 82590 99108 110120 123885 165180 198216 247770 300077 330360 495540 600154 900231 991080 1200308 1500385 1800462 2400616 2700693 3000770 3600924 4501155 5401386 6001540 7201848 9002310 10802772 12003080 13503465 18004620 21605544 27006930 36009240 54013860 108027720