Base | Representation |
---|---|
bin | 1000101110100… |
… | …01111000100000 |
3 | 12002202112012020 |
4 | 10113101320200 |
5 | 122220231144 |
6 | 11133101440 |
7 | 1546200246 |
oct | 427217040 |
9 | 162675166 |
10 | 73211424 |
11 | 38364910 |
12 | 20627880 |
13 | 12224490 |
14 | 9a1a796 |
15 | 6662419 |
hex | 45d1e20 |
73211424 has 96 divisors (see below), whose sum is σ = 225820224. Its totient is φ = 20474880.
The previous prime is 73211393. The next prime is 73211431. The reversal of 73211424 is 42411237.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 73211394 and 73211403.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11062 + ... + 16394.
It is an arithmetic number, because the mean of its divisors is an integer number (2352294).
Almost surely, 273211424 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 73211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112910112).
73211424 is an abundant number, since it is smaller than the sum of its proper divisors (152608800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73211424 is a wasteful number, since it uses less digits than its factorization.
73211424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5370 (or 5362 counting only the distinct ones).
The product of its digits is 1344, while the sum is 24.
The square root of 73211424 is about 8556.3674535401. The cubic root of 73211424 is about 418.3370068230.
The spelling of 73211424 in words is "seventy-three million, two hundred eleven thousand, four hundred twenty-four".
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