Search a number
-
+
53066160 = 24325710529
BaseRepresentation
bin1100101001101…
…1100110110000
310200212001002100
43022123212300
5102041104120
65133220400
71213024560
oct312334660
9120761070
1053066160
1127a55434
1215931700
13acbcbc4
147094da0
1549d3490
hex329b9b0

53066160 has 120 divisors (see below), whose sum is σ = 203692320. Its totient is φ = 12128256.

The previous prime is 53066093. The next prime is 53066173. The reversal of 53066160 is 6166035.

53066160 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, 225 + ... + 10304.

It is an arithmetic number, because the mean of its divisors is an integer number (1697436).

Almost surely, 253066160 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 53066160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101846160).

53066160 is an abundant number, since it is smaller than the sum of its proper divisors (150626160).

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

53066160 is a wasteful number, since it uses less digits than its factorization.

53066160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53066160 is about 7284.6523595845. The cubic root of 53066160 is about 375.7848097174.

The spelling of 53066160 in words is "fifty-three million, sixty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 10529 21058 31587 42116 52645 63174 73703 84232 94761 105290 126348 147406 157935 168464 189522 210580 221109 252696 294812 315870 368515 379044 421160 442218 473805 505392 589624 631740 663327 737030 758088 842320 884436 947610 1105545 1179248 1263480 1326654 1474060 1516176 1768872 1895220 2211090 2526960 2653308 2948120 3316635 3537744 3790440 4422180 5306616 5896240 6633270 7580880 8844360 10613232 13266540 17688720 26533080 53066160