Search a number
-
+
53325360 = 24325116733
BaseRepresentation
bin1100101101101…
…0111000110000
310201100012122100
43023122320300
5102122402420
65142540400
71215154344
oct313327060
9121305570
1053325360
1128112150
1215a37700
13b080b8a
147121624
154a35190
hex32dae30

53325360 has 120 divisors (see below), whose sum is σ = 195393744. Its totient is φ = 12925440.

The previous prime is 53325359. The next prime is 53325373. The reversal of 53325360 is 6352335.

53325360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 4554 + ... + 11286.

Almost surely, 253325360 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 53325360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97696872).

53325360 is an abundant number, since it is smaller than the sum of its proper divisors (142068384).

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

53325360 is a wasteful number, since it uses less digits than its factorization.

53325360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 53325360 is about 7302.4215161821. The cubic root of 53325360 is about 376.3956526327.

Adding to 53325360 its reverse (6352335), we get a palindrome (59677695).

The spelling of 53325360 in words is "fifty-three million, three hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 6733 7920 13466 20199 26932 33665 40398 53864 60597 67330 74063 80796 100995 107728 121194 134660 148126 161592 201990 222189 242388 269320 296252 302985 323184 370315 403980 444378 484776 538640 592504 605970 666567 740630 807960 888756 969552 1110945 1185008 1211940 1333134 1481260 1615920 1777512 2221890 2423880 2666268 2962520 3332835 3555024 4443780 4847760 5332536 5925040 6665670 8887560 10665072 13331340 17775120 26662680 53325360