Base | Representation |
---|---|
bin | 1000101101110… |
… | …00101100000000 |
3 | 12002120021122000 |
4 | 10112320230000 |
5 | 122203430344 |
6 | 11130544000 |
7 | 1545260340 |
oct | 426705400 |
9 | 162507560 |
10 | 73108224 |
11 | 382a4322 |
12 | 20598000 |
13 | 121b9507 |
14 | 99d0d20 |
15 | 6641a69 |
hex | 45b8b00 |
73108224 has 144 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 20874240.
The previous prime is 73108223. The next prime is 73108229. The reversal of 73108224 is 42280137.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (73108223) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47629 + ... + 49139.
It is an arithmetic number, because the mean of its divisors is an integer number (1716960).
Almost surely, 273108224 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 73108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).
73108224 is an abundant number, since it is smaller than the sum of its proper divisors (174134016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73108224 is a wasteful number, since it uses less digits than its factorization.
73108224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1543 (or 1523 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 73108224 is about 8550.3347302898. The cubic root of 73108224 is about 418.1403495340.
The spelling of 73108224 in words is "seventy-three million, one hundred eight thousand, two hundred twenty-four".
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