Search a number
-
+
18238000 = 245311829
BaseRepresentation
bin100010110010…
…0101000110000
31021022120211111
41011210220300
514132104000
61450523104
7311010004
oct105445060
937276744
1018238000
11a327530
126136494
133a17421
1425ca704
151903cba
hex1164a30

18238000 has 80 divisors (see below), whose sum is σ = 48166560. Its totient is φ = 6624000.

The previous prime is 18237997. The next prime is 18238001. The reversal of 18238000 is 83281.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (18238001) 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, 21586 + ... + 22414.

It is an arithmetic number, because the mean of its divisors is an integer number (602082).

Almost surely, 218238000 is an apocalyptic number.

18238000 is a gapful number since it is divisible by the number (10) 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 18238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24083280).

18238000 is an abundant number, since it is smaller than the sum of its proper divisors (29928560).

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

18238000 is a wasteful number, since it uses less digits than its factorization.

18238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 18238000 is about 4270.5971479408. The cubic root of 18238000 is about 263.2241531405.

The spelling of 18238000 in words is "eighteen million, two hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 829 880 1000 1100 1375 1658 2000 2200 2750 3316 4145 4400 5500 6632 8290 9119 11000 13264 16580 18238 20725 22000 33160 36476 41450 45595 66320 72952 82900 91190 103625 145904 165800 182380 207250 227975 331600 364760 414500 455950 729520 829000 911900 1139875 1658000 1823800 2279750 3647600 4559500 9119000 18238000