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14055840 = 2532543227
BaseRepresentation
bin110101100111…
…100110100000
3222110002222200
4311213212200
512044241330
61221133200
7230321061
oct65474640
928402880
1014055840
117a303a7
12485a200
132bb1986
141c1c568
151379a60
hexd679a0

14055840 has 144 divisors (see below), whose sum is σ = 49297248. Its totient is φ = 3644928.

The previous prime is 14055809. The next prime is 14055851. The reversal of 14055840 is 4855041.

14055840 is nontrivially palindromic in base 11.

14055840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61807 + ... + 62033.

It is an arithmetic number, because the mean of its divisors is an integer number (342342).

Almost surely, 214055840 is an apocalyptic number.

14055840 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 14055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648624).

14055840 is an abundant number, since it is smaller than the sum of its proper divisors (35241408).

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

14055840 is a wasteful number, since it uses less digits than its factorization.

14055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 14055840 is about 3749.1118948359. Note that the first 3 decimals coincide. The cubic root of 14055840 is about 241.3342354867.

The spelling of 14055840 in words is "fourteen million, fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 227 240 258 288 344 360 387 430 454 480 516 645 681 688 720 774 860 908 1032 1135 1290 1362 1376 1440 1548 1720 1816 1935 2043 2064 2270 2580 2724 3096 3405 3440 3632 3870 4086 4128 4540 5160 5448 6192 6810 6880 7264 7740 8172 9080 9761 10215 10320 10896 12384 13620 15480 16344 18160 19522 20430 20640 21792 27240 29283 30960 32688 36320 39044 40860 48805 54480 58566 61920 65376 78088 81720 87849 97610 108960 117132 146415 156176 163440 175698 195220 234264 292830 312352 326880 351396 390440 439245 468528 585660 702792 780880 878490 937056 1171320 1405584 1561760 1756980 2342640 2811168 3513960 4685280 7027920 14055840