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108084240 = 24335114549
BaseRepresentation
bin1100111000100…
…11110000010000
321112101020201000
412130103300100
5210132143430
614420342000
72451462255
oct634236020
9245336630
10108084240
1156013320
1230244900
1319514394
14104d742c
15974ee60
hex6713c10

108084240 has 160 divisors (see below), whose sum is σ = 406224000. Its totient is φ = 26196480.

The previous prime is 108084227. The next prime is 108084257. The reversal of 108084240 is 42480801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21486 + ... + 26034.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2108084240 is an apocalyptic number.

108084240 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 108084240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

108084240 is an abundant number, since it is smaller than the sum of its proper divisors (298139760).

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

108084240 is a wasteful number, since it uses less digits than its factorization.

108084240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 108084240 is about 10396.3570542763. The cubic root of 108084240 is about 476.3441006940.

The spelling of 108084240 in words is "one hundred eight million, eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4549 4752 5940 7920 9098 11880 13647 18196 22745 23760 27294 36392 40941 45490 50039 54588 68235 72784 81882 90980 100078 109176 122823 136470 150117 163764 181960 200156 204705 218352 245646 250195 272940 300234 327528 363920 400312 409410 450351 491292 500390 545880 600468 614115 655056 750585 800624 818820 900702 982584 1000780 1091760 1200936 1228230 1351053 1501170 1637640 1801404 1965168 2001560 2251755 2401872 2456460 2702106 3002340 3275280 3602808 4003120 4503510 4912920 5404212 6004680 6755265 7205616 9007020 9825840 10808424 12009360 13510530 18014040 21616848 27021060 36028080 54042120 108084240