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18270240 = 2535172239
BaseRepresentation
bin100010110110…
…0100000100000
31021101020001120
41011230200200
514134121430
61451332240
7311203002
oct105544040
937336046
1018270240
11a34977a
126151080
133a28cc1
1425d8372
15190d610
hex116c820

18270240 has 96 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 4583424.

The previous prime is 18270233. The next prime is 18270269. The reversal of 18270240 is 4207281.

It is a tau number, because it is divible by the number of its divisors (96).

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 18270240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7041 + ... + 9279.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 218270240 is an apocalyptic number.

18270240 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 18270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

18270240 is an abundant number, since it is smaller than the sum of its proper divisors (42693600).

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

18270240 is a wasteful number, since it uses less digits than its factorization.

18270240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 18270240 is about 4274.3701290366. The cubic root of 18270240 is about 263.3791655881.

The spelling of 18270240 in words is "eighteen million, two hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2239 2720 4080 4478 6717 8160 8956 11195 13434 17912 22390 26868 33585 35824 38063 44780 53736 67170 71648 76126 89560 107472 114189 134340 152252 179120 190315 214944 228378 268680 304504 358240 380630 456756 537360 570945 609008 761260 913512 1074720 1141890 1218016 1522520 1827024 2283780 3045040 3654048 4567560 6090080 9135120 18270240