Search a number
-
+
53453160 = 23325374013
BaseRepresentation
bin1100101111101…
…0000101101000
310201120200221200
43023322011220
5102141000120
65145404200
71216226055
oct313720550
9121520850
1053453160
112819a172
1215a99660
13b0c70b7
14715602c
154a5ce90
hex32fa168

53453160 has 96 divisors (see below), whose sum is σ = 178462440. Its totient is φ = 13865472.

The previous prime is 53453149. The next prime is 53453209. The reversal of 53453160 is 6135435.

53453160 is a `hidden beast` number, since 5 + 345 + 316 + 0 = 666.

53453160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53319204 + 133956 = 7302^2 + 366^2 .

It is a congruent number.

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, 11314 + ... + 15326.

Almost surely, 253453160 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 53453160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89231220).

53453160 is an abundant number, since it is smaller than the sum of its proper divisors (125009280).

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

53453160 is a wasteful number, since it uses less digits than its factorization.

53453160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53453160 is about 7311.1668015441. The cubic root of 53453160 is about 376.6961037200.

Adding to 53453160 its reverse (6135435), we get a palindrome (59588595).

The spelling of 53453160 in words is "fifty-three million, four hundred fifty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4013 4440 6660 8026 12039 13320 16052 20065 24078 32104 36117 40130 48156 60195 72234 80260 96312 120390 144468 148481 160520 180585 240780 288936 296962 361170 445443 481560 593924 722340 742405 890886 1187848 1336329 1444680 1484810 1781772 2227215 2672658 2969620 3563544 4454430 5345316 5939240 6681645 8908860 10690632 13363290 17817720 26726580 53453160