Base | Representation |
---|---|
bin | 10001101010101… |
… | …00111100110000 |
3 | 101022212012022000 |
4 | 20311110330300 |
5 | 300414302133 |
6 | 22412214000 |
7 | 3446440500 |
oct | 1065247460 |
9 | 338765260 |
10 | 148197168 |
11 | 767207a9 |
12 | 4176a300 |
13 | 2491a442 |
14 | 15979a00 |
15 | d025413 |
hex | 8d54f30 |
148197168 has 120 divisors (see below), whose sum is σ = 494901360. Its totient is φ = 42336000.
The previous prime is 148197097. The next prime is 148197187. The reversal of 148197168 is 861791841.
It is a happy number.
148197168 is a `hidden beast` number, since 1 + 481 + 9 + 7 + 168 = 666.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17668 + ... + 24668.
It is an arithmetic number, because the mean of its divisors is an integer number (4124178).
Almost surely, 2148197168 is an apocalyptic number.
148197168 is a gapful number since it is divisible by the number (18) 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 148197168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247450680).
148197168 is an abundant number, since it is smaller than the sum of its proper divisors (346704192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148197168 is a wasteful number, since it uses less digits than its factorization.
148197168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7032 (or 7013 counting only the distinct ones).
The product of its digits is 96768, while the sum is 45.
The square root of 148197168 is about 12173.6259183532. The cubic root of 148197168 is about 529.1920381770.
It can be divided in two parts, 148197 and 168, that multiplied together give a triangular number (24897096 = T7056).
The spelling of 148197168 in words is "one hundred forty-eight million, one hundred ninety-seven thousand, one hundred sixty-eight".
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