Base | Representation |
---|---|
bin | 100011000001… |
… | …0101010101000 |
3 | 1021112211120001 |
4 | 1012002222220 |
5 | 14200023000 |
6 | 1453312344 |
7 | 312031420 |
oct | 106025250 |
9 | 37484501 |
10 | 18361000 |
11 | a400989 |
12 | 61956b4 |
13 | 3a5b3c8 |
14 | 261d480 |
15 | 192a46a |
hex | 1182aa8 |
18361000 has 128 divisors (see below), whose sum is σ = 51068160. Its totient is φ = 6048000.
The previous prime is 18360997. The next prime is 18361051. The reversal of 18361000 is 16381.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300970 + ... + 301030.
It is an arithmetic number, because the mean of its divisors is an integer number (398970).
Almost surely, 218361000 is an apocalyptic number.
18361000 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 18361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).
18361000 is an abundant number, since it is smaller than the sum of its proper divisors (32707160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18361000 is a wasteful number, since it uses less digits than its factorization.
18361000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132 (or 118 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 19.
The square root of 18361000 is about 4284.9737455438. The cubic root of 18361000 is about 263.8145698173.
Adding to 18361000 its reverse (16381), we get a palindrome (18377381).
The spelling of 18361000 in words is "eighteen million, three hundred sixty-one thousand".
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