Search a number
-
+
18824130 = 23351331173
BaseRepresentation
bin100011111001…
…1101111000010
31022102100212000
41013303233002
514304333010
61511244430
7316000563
oct107635702
938370760
1018824130
11a697936
126379716
133b91150
14270016a
1519bc7c0
hex11f3bc2

18824130 has 128 divisors (see below), whose sum is σ = 56125440. Its totient is φ = 4458240.

The previous prime is 18824129. The next prime is 18824137. The reversal of 18824130 is 3142881.

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 = 18824094 and 18824103.

It is not an unprimeable number, because it can be changed into a prime (18824137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108724 + ... + 108896.

It is an arithmetic number, because the mean of its divisors is an integer number (438480).

Almost surely, 218824130 is an apocalyptic number.

18824130 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 18824130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062720).

18824130 is an abundant number, since it is smaller than the sum of its proper divisors (37301310).

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

18824130 is a wasteful number, since it uses less digits than its factorization.

18824130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

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

The square root of 18824130 is about 4338.6783701952. The cubic root of 18824130 is about 266.0142924840.

The spelling of 18824130 in words is "eighteen million, eight hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 155 173 186 195 234 270 279 310 346 351 390 403 465 519 558 585 702 806 837 865 930 1038 1170 1209 1395 1557 1674 1730 1755 2015 2249 2418 2595 2790 3114 3510 3627 4030 4185 4498 4671 5190 5363 6045 6747 7254 7785 8370 9342 10726 10881 11245 12090 13494 15570 16089 18135 20241 21762 22490 23355 26815 32178 33735 36270 40482 46710 48267 53630 54405 60723 67470 69719 80445 96534 101205 108810 121446 139438 144801 160890 202410 209157 241335 289602 303615 348595 418314 482670 607230 627471 697190 724005 1045785 1254942 1448010 1882413 2091570 3137355 3764826 6274710 9412065 18824130