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18282132 = 22331121399
BaseRepresentation
bin100010110111…
…1011010010100
31021101211101000
41011233122110
514140012012
61451503300
7311252451
oct105573224
937354330
1018282132
11a357700
126157b30
133a3153b
1425dc828
151911ddc
hex116f694

18282132 has 72 divisors (see below), whose sum is σ = 52136000. Its totient is φ = 5536080.

The previous prime is 18282119. The next prime is 18282133. The reversal of 18282132 is 23128281.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18282096 and 18282105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18282133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12369 + ... + 13767.

Almost surely, 218282132 is an apocalyptic number.

18282132 is a gapful number since it is divisible by the number (12) 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 18282132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26068000).

18282132 is an abundant number, since it is smaller than the sum of its proper divisors (33853868).

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

18282132 is a wasteful number, since it uses less digits than its factorization.

18282132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1415 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 18282132 is about 4275.7609849008. The cubic root of 18282132 is about 263.4362972172.

The spelling of 18282132 in words is "eighteen million, two hundred eighty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1399 1452 2178 2798 3267 4197 4356 5596 6534 8394 12591 13068 15389 16788 25182 30778 37773 46167 50364 61556 75546 92334 138501 151092 169279 184668 277002 338558 415503 507837 554004 677116 831006 1015674 1523511 1662012 2031348 3047022 4570533 6094044 9141066 18282132