Search a number
-
+
18013800 = 2335274289
BaseRepresentation
bin100010010110…
…1111001101000
31020220012021210
41010231321220
514102420200
61442033120
7306054240
oct104557150
936805253
1018013800
11a194042
1260487a0
13396936c
14256cb20
1518ac650
hex112de68

18013800 has 96 divisors (see below), whose sum is σ = 63835200. Its totient is φ = 4116480.

The previous prime is 18013781. The next prime is 18013813. The reversal of 18013800 is 831081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2056 + ... + 6344.

It is an arithmetic number, because the mean of its divisors is an integer number (664950).

Almost surely, 218013800 is an apocalyptic number.

18013800 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 18013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917600).

18013800 is an abundant number, since it is smaller than the sum of its proper divisors (45821400).

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

18013800 is a wasteful number, since it uses less digits than its factorization.

18013800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 18013800 is about 4244.2667211192. The cubic root of 18013800 is about 262.1410968148.

Adding to 18013800 its reverse (831081), we get a palindrome (18844881).

The spelling of 18013800 in words is "eighteen million, thirteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 4289 8578 12867 17156 21445 25734 30023 34312 42890 51468 60046 64335 85780 90069 102936 107225 120092 128670 150115 171560 180138 214450 240184 257340 300230 321675 360276 428900 450345 514680 600460 643350 720552 750575 857800 900690 1200920 1286700 1501150 1801380 2251725 2573400 3002300 3602760 4503450 6004600 9006900 18013800