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18186840 = 23325721031
BaseRepresentation
bin100010101100…
…0001001011000
31021012222122200
41011120021120
514123434330
61445450200
7310404600
oct105301130
937188580
1018186840
11a2a2051
126110960
1339ca059
1425b5c00
1518e3a60
hex1158258

18186840 has 144 divisors (see below), whose sum is σ = 68824080. Its totient is φ = 4152960.

The previous prime is 18186823. The next prime is 18186851. The reversal of 18186840 is 4868181.

It is a super-2 number, since 2×181868402 = 661522298371200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18186795 and 18186804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17125 + ... + 18155.

It is an arithmetic number, because the mean of its divisors is an integer number (477945).

Almost surely, 218186840 is an apocalyptic number.

18186840 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 18186840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34412040).

18186840 is an abundant number, since it is smaller than the sum of its proper divisors (50637240).

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

18186840 is a wasteful number, since it uses less digits than its factorization.

18186840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18186840 is about 4264.6031468356. The cubic root of 18186840 is about 262.9777964649.

The spelling of 18186840 in words is "eighteen million, one hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1031 1176 1260 1470 1764 1960 2062 2205 2520 2940 3093 3528 4124 4410 5155 5880 6186 7217 8248 8820 9279 10310 12372 14434 15465 17640 18558 20620 21651 24744 28868 30930 36085 37116 41240 43302 46395 50519 57736 61860 64953 72170 74232 86604 92790 101038 108255 123720 129906 144340 151557 173208 185580 202076 216510 252595 259812 288680 303114 324765 371160 404152 433020 454671 505190 519624 606228 649530 757785 866040 909342 1010380 1212456 1299060 1515570 1818684 2020760 2273355 2598120 3031140 3637368 4546710 6062280 9093420 18186840