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85125560 = 235131271289
BaseRepresentation
bin1010001001011…
…10100110111000
312221011211022112
411010232212320
5133243004220
612240311452
72052361322
oct504564670
9187154275
1085125560
1144062103
1224612588
1314836370
14b43c612
1577175c5
hex512e9b8

85125560 has 64 divisors (see below), whose sum is σ = 208051200. Its totient is φ = 31159296.

The previous prime is 85125559. The next prime is 85125589. The reversal of 85125560 is 6552158.

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 15 ways as a sum of consecutive naturals, for example, 65396 + ... + 66684.

It is an arithmetic number, because the mean of its divisors is an integer number (3250800).

Almost surely, 285125560 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 85125560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104025600).

85125560 is an abundant number, since it is smaller than the sum of its proper divisors (122925640).

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

85125560 is a wasteful number, since it uses less digits than its factorization.

85125560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 85125560 is about 9226.3513915307. The cubic root of 85125560 is about 439.8993571466.

The spelling of 85125560 in words is "eighty-five million, one hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 508 520 635 1016 1270 1289 1651 2540 2578 3302 5080 5156 6445 6604 8255 10312 12890 13208 16510 16757 25780 33020 33514 51560 66040 67028 83785 134056 163703 167570 327406 335140 654812 670280 818515 1309624 1637030 2128139 3274060 4256278 6548120 8512556 10640695 17025112 21281390 42562780 85125560