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18132030 = 23257171693
BaseRepresentation
bin100010100101…
…0110000111110
31021010012110200
41011022300332
514120211110
61444344330
7310056030
oct105126076
937105420
1018132030
11a264954
1260a50a6
1339ab117
14259dc50
1518d26c0
hex114ac3e

18132030 has 96 divisors (see below), whose sum is σ = 57081024. Its totient is φ = 3898368.

The previous prime is 18132029. The next prime is 18132031. The reversal of 18132030 is 3023181.

It is an interprime number because it is at equal distance from previous prime (18132029) and next prime (18132031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18131994 and 18132012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18132031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9864 + ... + 11556.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 218132030 is an apocalyptic number.

18132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28540512).

18132030 is an abundant number, since it is smaller than the sum of its proper divisors (38948994).

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

18132030 is a wasteful number, since it uses less digits than its factorization.

18132030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 18132030 is about 4258.1721430680. The cubic root of 18132030 is about 262.7133503592.

The spelling of 18132030 in words is "eighteen million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1693 1785 2142 3386 3570 5079 5355 8465 10158 10710 11851 15237 16930 23702 25395 28781 30474 35553 50790 57562 59255 71106 76185 86343 106659 118510 143905 152370 172686 177765 201467 213318 259029 287810 355530 402934 431715 518058 533295 604401 863430 1007335 1066590 1208802 1295145 1813203 2014670 2590290 3022005 3626406 6044010 9066015 18132030