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14128560 = 2433531211
BaseRepresentation
bin110101111001…
…010110110000
3222120210202000
4311321112300
512104103220
61222454000
7231043065
oct65712660
928523660
1014128560
117a7aaa6
124894300
132c08ac4
141c3ac6c
151391390
hexd795b0

14128560 has 160 divisors (see below), whose sum is σ = 50472960. Its totient is φ = 3628800.

The previous prime is 14128549. The next prime is 14128573. The reversal of 14128560 is 6582141.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 66855 + ... + 67065.

It is an arithmetic number, because the mean of its divisors is an integer number (315456).

Almost surely, 214128560 is an apocalyptic number.

14128560 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 14128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25236480).

14128560 is an abundant number, since it is smaller than the sum of its proper divisors (36344400).

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

14128560 is a wasteful number, since it uses less digits than its factorization.

14128560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 14128560 is about 3758.7976801100. The cubic root of 14128560 is about 241.7497127721.

The spelling of 14128560 in words is "fourteen million, one hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 211 216 240 248 270 279 310 360 372 422 432 465 496 540 558 620 633 720 744 837 844 930 1055 1080 1116 1240 1266 1395 1488 1674 1688 1860 1899 2110 2160 2232 2480 2532 2790 3165 3348 3376 3720 3798 4185 4220 4464 5064 5580 5697 6330 6541 6696 7440 7596 8370 8440 9495 10128 11160 11394 12660 13082 13392 15192 16740 16880 18990 19623 22320 22788 25320 26164 28485 30384 32705 33480 37980 39246 45576 50640 52328 56970 58869 65410 66960 75960 78492 91152 98115 104656 113940 117738 130820 151920 156984 176607 196230 227880 235476 261640 294345 313968 353214 392460 455760 470952 523280 588690 706428 784920 883035 941904 1177380 1412856 1569840 1766070 2354760 2825712 3532140 4709520 7064280 14128560