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18427640 = 23571131193
BaseRepresentation
bin100011001001…
…0111011111000
31021200012222012
41012102323320
514204141030
61454545052
7312426620
oct106227370
937605865
1018427640
11a446a60
126208188
133a8283a
142639880
151940095
hex1192ef8

18427640 has 128 divisors (see below), whose sum is σ = 53637120. Its totient is φ = 5529600.

The previous prime is 18427631. The next prime is 18427679. The reversal of 18427640 is 4672481.

It is a junction number, because it is equal to n+sod(n) for n = 18427597 and 18427606.

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, 95384 + ... + 95576.

It is an arithmetic number, because the mean of its divisors is an integer number (419040).

Almost surely, 218427640 is an apocalyptic number.

18427640 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 18427640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26818560).

18427640 is an abundant number, since it is smaller than the sum of its proper divisors (35209480).

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

18427640 is a wasteful number, since it uses less digits than its factorization.

18427640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 18427640 is about 4292.7427129983. The cubic root of 18427640 is about 264.1333501400.

The spelling of 18427640 in words is "eighteen million, four hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 31 35 40 44 55 56 62 70 77 88 110 124 140 154 155 193 217 220 248 280 308 310 341 385 386 434 440 616 620 682 770 772 868 965 1085 1240 1351 1364 1540 1544 1705 1736 1930 2123 2170 2387 2702 2728 3080 3410 3860 4246 4340 4774 5404 5983 6755 6820 7720 8492 8680 9548 10615 10808 11935 11966 13510 13640 14861 16984 19096 21230 23870 23932 27020 29722 29915 41881 42460 47740 47864 54040 59444 59830 65813 74305 83762 84920 95480 118888 119660 131626 148610 167524 209405 239320 263252 297220 329065 335048 418810 460691 526504 594440 658130 837620 921382 1316260 1675240 1842764 2303455 2632520 3685528 4606910 9213820 18427640