Base | Representation |
---|---|
bin | 100010011001… |
… | …1100010100100 |
3 | 1020221100222100 |
4 | 1010303202210 |
5 | 14104140100 |
6 | 1442332100 |
7 | 306211500 |
oct | 104634244 |
9 | 36840870 |
10 | 18036900 |
11 | a1aa432 |
12 | 605a030 |
13 | 3976a2b |
14 | 2577300 |
15 | 18b4400 |
hex | 11338a4 |
18036900 has 162 divisors, whose sum is σ = 65926770. Its totient is φ = 4112640.
The previous prime is 18036877. The next prime is 18036923. The reversal of 18036900 is 963081.
It is an interprime number because it is at equal distance from previous prime (18036877) and next prime (18036923).
It can be written as a sum of positive squares in 3 ways, for example, as 4064256 + 13972644 = 2016^2 + 3738^2 .
It is a super-2 number, since 2×180369002 = 650659523220000, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 43896 + ... + 44304.
Almost surely, 218036900 is an apocalyptic number.
18036900 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 18036900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32963385).
18036900 is an abundant number, since it is smaller than the sum of its proper divisors (47889870).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18036900 is a wasteful number, since it uses less digits than its factorization.
18036900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 443 (or 426 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
The square root of 18036900 is about 4246.9871673929. The cubic root of 18036900 is about 262.2531011813.
Adding to 18036900 its reverse (963081), we get a palindrome (18999981).
The spelling of 18036900 in words is "eighteen million, thirty-six thousand, nine hundred".
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