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53082160 = 24517231697
BaseRepresentation
bin1100101001111…
…1100000110000
310200212212000221
43022133200300
5102042112120
65133422424
71213122325
oct312374060
9120785027
1053082160
1127a6645a
121593aa14
13acc7281
14709ab4c
1549d80aa
hex329f830

53082160 has 80 divisors (see below), whose sum is σ = 136437696. Its totient is φ = 19103744.

The previous prime is 53082103. The next prime is 53082163. The reversal of 53082160 is 6128035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (53082163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30432 + ... + 32128.

Almost surely, 253082160 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 53082160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68218848).

53082160 is an abundant number, since it is smaller than the sum of its proper divisors (83355536).

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

53082160 is a wasteful number, since it uses less digits than its factorization.

53082160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 53082160 is about 7285.7504761006. The cubic root of 53082160 is about 375.8225736004.

The spelling of 53082160 in words is "fifty-three million, eighty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1697 1840 1955 3128 3394 3910 6256 6788 7820 8485 13576 15640 16970 27152 28849 31280 33940 39031 57698 67880 78062 115396 135760 144245 156124 195155 230792 288490 312248 390310 461584 576980 624496 663527 780620 1153960 1327054 1561240 2307920 2654108 3122480 3317635 5308216 6635270 10616432 13270540 26541080 53082160