Search a number
-
+
18057300 = 22352232617
BaseRepresentation
bin100010011100…
…0100001010100
31020222101221220
41010320201110
514110313200
61443010340
7306325122
oct104704124
936871856
1018057300
11a213798
1260699b0
1339830c1
142580912
1518ba4a0
hex1138854

18057300 has 72 divisors (see below), whose sum is σ = 54538176. Its totient is φ = 4604160.

The previous prime is 18057293. The next prime is 18057307. The reversal of 18057300 is 375081.

It is an interprime number because it is at equal distance from previous prime (18057293) and next prime (18057307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18057307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5592 + ... + 8208.

Almost surely, 218057300 is an apocalyptic number.

18057300 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 18057300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27269088).

18057300 is an abundant number, since it is smaller than the sum of its proper divisors (36480876).

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

18057300 is a wasteful number, since it uses less digits than its factorization.

18057300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 18057300 is about 4249.3881912577. The cubic root of 18057300 is about 262.3519346388.

The spelling of 18057300 in words is "eighteen million, fifty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 2617 3450 5234 6900 7851 10468 13085 15702 26170 31404 39255 52340 60191 65425 78510 120382 130850 157020 180573 196275 240764 261700 300955 361146 392550 601910 722292 785100 902865 1203820 1504775 1805730 3009550 3611460 4514325 6019100 9028650 18057300