Base | Representation |
---|---|
bin | 100010100111… |
… | …0101011000000 |
3 | 1021011000102100 |
4 | 1011032223000 |
5 | 14121214112 |
6 | 1444550400 |
7 | 310153500 |
oct | 105165300 |
9 | 37130370 |
10 | 18148032 |
11 | a275981 |
12 | 60b2400 |
13 | 39b54a6 |
14 | 25a5a00 |
15 | 18d72dc |
hex | 114eac0 |
18148032 has 126 divisors (see below), whose sum is σ = 60604908. Its totient is φ = 5177088.
The previous prime is 18148007. The next prime is 18148037. The reversal of 18148032 is 23084181.
18148032 is a `hidden beast` number, since 181 + 480 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (126).
It is a junction number, because it is equal to n+sod(n) for n = 18147987 and 18148005.
It is not an unprimeable number, because it can be changed into a prime (18148037) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27903 + ... + 28545.
Almost surely, 218148032 is an apocalyptic number.
18148032 is a gapful number since it is divisible by the number (12) 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 18148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30302454).
18148032 is an abundant number, since it is smaller than the sum of its proper divisors (42456876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18148032 is a wasteful number, since it uses less digits than its factorization.
18148032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 675 (or 655 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 27.
The square root of 18148032 is about 4260.0507039236. The cubic root of 18148032 is about 262.7906114811.
The spelling of 18148032 in words is "eighteen million, one hundred forty-eight thousand, thirty-two".
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