Base | Representation |
---|---|
bin | 1110101100001… |
… | …00000001100000 |
3 | 22120212102202210 |
4 | 13112010001200 |
5 | 223021133120 |
6 | 20121042120 |
7 | 3024250053 |
oct | 726040140 |
9 | 276772683 |
10 | 123224160 |
11 | 63614154 |
12 | 35326340 |
13 | 1c6b5607 |
14 | 12518a9a |
15 | ac40ce0 |
hex | 7584060 |
123224160 has 96 divisors (see below), whose sum is σ = 411016032. Its totient is φ = 30924800.
The previous prime is 123224159. The next prime is 123224191. The reversal of 123224160 is 61422321.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610 + ... + 15710.
It is an arithmetic number, because the mean of its divisors is an integer number (4281417).
Almost surely, 2123224160 is an apocalyptic number.
123224160 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 123224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205508016).
123224160 is an abundant number, since it is smaller than the sum of its proper divisors (287791872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123224160 is a wasteful number, since it uses less digits than its factorization.
123224160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15136 (or 15128 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 123224160 is about 11100.6378195129. The cubic root of 123224160 is about 497.6209111603.
Adding to 123224160 its reverse (61422321), we get a palindrome (184646481).
The spelling of 123224160 in words is "one hundred twenty-three million, two hundred twenty-four thousand, one hundred sixty".
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