Base | Representation |
---|---|
bin | 100010101101… |
… | …0111010000000 |
3 | 1021020120011100 |
4 | 1011122322000 |
5 | 14124320034 |
6 | 1450014400 |
7 | 310452546 |
oct | 105327200 |
9 | 37216140 |
10 | 18198144 |
11 | a2aa598 |
12 | 6117400 |
13 | 3a02243 |
14 | 25b9d96 |
15 | 18e7099 |
hex | 115ae80 |
18198144 has 48 divisors (see below), whose sum is σ = 52370370. Its totient is φ = 6065664.
The previous prime is 18198139. The next prime is 18198149. The reversal of 18198144 is 44189181.
It is an interprime number because it is at equal distance from previous prime (18198139) and next prime (18198149).
It can be written as a sum of positive squares in only one way, i.e., 13838400 + 4359744 = 3720^2 + 2088^2 .
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 18198099 and 18198108.
It is not an unprimeable number, because it can be changed into a prime (18198149) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6747 + ... + 9050.
Almost surely, 218198144 is an apocalyptic number.
It is an amenable number.
18198144 is an abundant number, since it is smaller than the sum of its proper divisors (34172226).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18198144 is a wasteful number, since it uses less digits than its factorization.
18198144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15817 (or 15802 counting only the distinct ones).
The product of its digits is 9216, while the sum is 36.
The square root of 18198144 is about 4265.9282694391. The cubic root of 18198144 is about 263.0322696505.
The spelling of 18198144 in words is "eighteen million, one hundred ninety-eight thousand, one hundred forty-four".
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