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18258030 = 2325773397
BaseRepresentation
bin100010110100…
…1100001101110
31021100121022100
41011221201232
514133224110
61451155530
7311122260
oct105514156
937317270
1018258030
11a34058a
126145ba6
133a2358b
1425d3b30
151909bc0
hex116986e

18258030 has 96 divisors (see below), whose sum is σ = 55134144. Its totient is φ = 4105728.

The previous prime is 18258029. The next prime is 18258047. The reversal of 18258030 is 3085281.

Added to its reverse (3085281) it gives a triangular number (21343311 = T6533).

It is a happy number.

18258030 is a `hidden beast` number, since 1 + 82 + 580 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18257985 and 18258003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45792 + ... + 46188.

It is an arithmetic number, because the mean of its divisors is an integer number (574314).

Almost surely, 218258030 is an apocalyptic number.

18258030 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 18258030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27567072).

18258030 is an abundant number, since it is smaller than the sum of its proper divisors (36876114).

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

18258030 is a wasteful number, since it uses less digits than its factorization.

18258030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 18258030 is about 4272.9416097110. The cubic root of 18258030 is about 263.3204804209.

Adding to 18258030 its reverse (3085281), we get a triangular number (21343311 = T6533).

The spelling of 18258030 in words is "eighteen million, two hundred fifty-eight thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 73 90 105 126 146 210 219 315 365 397 438 511 630 657 730 794 1022 1095 1191 1314 1533 1985 2190 2382 2555 2779 3066 3285 3573 3970 4599 5110 5558 5955 6570 7146 7665 8337 9198 11910 13895 15330 16674 17865 22995 25011 27790 28981 35730 41685 45990 50022 57962 83370 86943 125055 144905 173886 202867 250110 260829 289810 405734 434715 521658 608601 869430 1014335 1217202 1304145 1825803 2028670 2608290 3043005 3651606 6086010 9129015 18258030