Search a number
-
+
73530424 = 23111018273
BaseRepresentation
bin1000110000111…
…11110000111000
312010100201210001
410120133300320
5122310433144
611144002344
71551666262
oct430376070
9163321701
1073530424
1138562550
12207603b4
1312306736
149aa0b32
1566c6bd4
hex461fc38

73530424 has 32 divisors (see below), whose sum is σ = 151910640. Its totient is φ = 33088000.

The previous prime is 73530409. The next prime is 73530427. The reversal of 73530424 is 42403537.

It is a junction number, because it is equal to n+sod(n) for n = 73530392 and 73530401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73530427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4752 + ... + 13024.

Almost surely, 273530424 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 73530424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75955320).

73530424 is an abundant number, since it is smaller than the sum of its proper divisors (78380216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73530424 is a wasteful number, since it uses less digits than its factorization.

73530424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 73530424 is about 8574.9882798754. The cubic root of 73530424 is about 418.9437251999.

The spelling of 73530424 in words is "seventy-three million, five hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8273 8888 16546 33092 66184 91003 182006 364012 728024 835573 1671146 3342292 6684584 9191303 18382606 36765212 73530424