Base | Representation |
---|---|
bin | 1000001100001101001100 |
3 | 11001002100000 |
4 | 20030031030 |
5 | 1022202043 |
6 | 114004300 |
7 | 24151623 |
oct | 10141514 |
9 | 4032300 |
10 | 2147148 |
11 | 1237203 |
12 | 876690 |
13 | 5a2403 |
14 | 3dc6ba |
15 | 2c62d3 |
hex | 20c34c |
2147148 has 54 divisors (see below), whose sum is σ = 5750836. Its totient is φ = 700488.
The previous prime is 2147137. The next prime is 2147161. The reversal of 2147148 is 8417412.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (54).
It is a super-2 number, since 2×21471482 = 9220489067808, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45661 + ... + 45707.
22147148 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2147148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875418).
2147148 is an abundant number, since it is smaller than the sum of its proper divisors (3603688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2147148 is an equidigital number, since it uses as much as digits as its factorization.
2147148 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 113 (or 52 counting only the distinct ones).
The product of its digits is 1792, while the sum is 27.
The square root of 2147148 is about 1465.3149832033. The cubic root of 2147148 is about 129.0091935038.
Multiplying 2147148 by its sum of digits (27), we get a square (57972996 = 76142).
2147148 divided by its sum of digits (27) gives a square (79524 = 2822).
The spelling of 2147148 in words is "two million, one hundred forty-seven thousand, one hundred forty-eight".
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