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18053160 = 23352331211
BaseRepresentation
bin100010011011…
…1100000101000
31020222012021120
41010313200220
514110200120
61442535240
7306310056
oct104674050
936865246
1018053160
11a210674
126067520
133981258
14257d1d6
1518b9140
hex1137828

18053160 has 128 divisors (see below), whose sum is σ = 58613760. Its totient is φ = 4435200.

The previous prime is 18053149. The next prime is 18053209. The reversal of 18053160 is 6135081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18053160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85455 + ... + 85665.

It is an arithmetic number, because the mean of its divisors is an integer number (457920).

Almost surely, 218053160 is an apocalyptic number.

18053160 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 18053160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29306880).

18053160 is an abundant number, since it is smaller than the sum of its proper divisors (40560600).

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

18053160 is a wasteful number, since it uses less digits than its factorization.

18053160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 18053160 is about 4248.9010343852. The cubic root of 18053160 is about 262.3318832832.

The spelling of 18053160 in words is "eighteen million, fifty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 60 62 69 92 93 115 120 124 138 155 184 186 211 230 248 276 310 345 372 422 460 465 552 620 633 690 713 744 844 920 930 1055 1240 1266 1380 1426 1688 1860 2110 2139 2532 2760 2852 3165 3565 3720 4220 4278 4853 5064 5704 6330 6541 7130 8440 8556 9706 10695 12660 13082 14260 14559 17112 19412 19623 21390 24265 25320 26164 28520 29118 32705 38824 39246 42780 48530 52328 58236 65410 72795 78492 85560 97060 98115 116472 130820 145590 150443 156984 194120 196230 261640 291180 300886 392460 451329 582360 601772 752215 784920 902658 1203544 1504430 1805316 2256645 3008860 3610632 4513290 6017720 9026580 18053160