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18273136 = 2471931277
BaseRepresentation
bin100010110110…
…1001101110000
31021101101000211
41011231031300
514134220021
61451353504
7311214310
oct105551560
937341024
1018273136
11a350972
126152894
133a2a40b
1425d9440
15190e3e1
hex116d370

18273136 has 80 divisors (see below), whose sum is σ = 44124160. Its totient is φ = 7153920.

The previous prime is 18273133. The next prime is 18273163. The reversal of 18273136 is 63137281.

It is a Harshad number since it is a multiple of its sum of digits (31).

Its product of digits (6048) is a multiple of the sum of its prime divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 18273098 and 18273107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18273131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65830 + ... + 66106.

It is an arithmetic number, because the mean of its divisors is an integer number (551552).

Almost surely, 218273136 is an apocalyptic number.

18273136 is a gapful number since it is divisible by the number (16) 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 18273136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22062080).

18273136 is an abundant number, since it is smaller than the sum of its proper divisors (25851024).

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

18273136 is a wasteful number, since it uses less digits than its factorization.

18273136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 18273136 is about 4274.7088789764. The cubic root of 18273136 is about 263.3930808544.

The spelling of 18273136 in words is "eighteen million, two hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 277 304 434 496 532 554 589 868 1064 1108 1178 1736 1939 2128 2216 2356 3472 3878 4123 4432 4712 5263 7756 8246 8587 9424 10526 15512 16492 17174 21052 31024 32984 34348 36841 42104 60109 65968 68696 73682 84208 120218 137392 147364 163153 240436 294728 326306 480872 589456 652612 961744 1142071 1305224 2284142 2610448 4568284 9136568 18273136