Search a number
-
+
54227120 = 245672151
BaseRepresentation
bin1100111011011…
…1000010110000
310210001000121212
43032313002300
5102340231440
65214135252
71225631363
oct316670260
9123030555
1054227120
1128678702
12161b1528
13b30846c
1472b80da
154b62465
hex33b70b0

54227120 has 60 divisors (see below), whose sum is σ = 128835504. Its totient is φ = 21225600.

The previous prime is 54227119. The next prime is 54227149. The reversal of 54227120 is 2172245.

It is a happy number.

54227120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 359045 + ... + 359195.

Almost surely, 254227120 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 54227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64417752).

54227120 is an abundant number, since it is smaller than the sum of its proper divisors (74608384).

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

54227120 is a wasteful number, since it uses less digits than its factorization.

54227120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 54227120 is about 7363.9065719223. The cubic root of 54227120 is about 378.5054872348.

Adding to 54227120 its reverse (2172245), we get a palindrome (56399365).

The spelling of 54227120 in words is "fifty-four million, two hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 151 268 302 335 536 604 670 755 1072 1208 1340 1510 2416 2680 3020 4489 5360 6040 8978 10117 12080 17956 20234 22445 35912 40468 44890 50585 71824 80936 89780 101170 161872 179560 202340 359120 404680 677839 809360 1355678 2711356 3389195 5422712 6778390 10845424 13556780 27113560 54227120