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85013260 = 22517614099
BaseRepresentation
bin1010001000100…
…11001100001100
312220222010021021
411010103030030
5133230411020
612234043524
72051413033
oct504231414
9186863237
1085013260
1143a957a2
12245795a4
13147c7207
14b40d71a
1576e41aa
hex511330c

85013260 has 48 divisors (see below), whose sum is σ = 192175200. Its totient is φ = 31472640.

The previous prime is 85013251. The next prime is 85013261. The reversal of 85013260 is 6231058.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85013261) 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, 18691 + ... + 22789.

It is an arithmetic number, because the mean of its divisors is an integer number (4003650).

Almost surely, 285013260 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 85013260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96087600).

85013260 is an abundant number, since it is smaller than the sum of its proper divisors (107161940).

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

85013260 is a wasteful number, since it uses less digits than its factorization.

85013260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4184 counting only the distinct ones).

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

The square root of 85013260 is about 9220.2635537169. The cubic root of 85013260 is about 439.7058295413.

The spelling of 85013260 in words is "eighty-five million, thirteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4099 4148 5185 8198 10370 16396 20495 20740 40990 69683 81980 139366 250039 278732 348415 500078 696830 1000156 1250195 1393660 2500390 4250663 5000780 8501326 17002652 21253315 42506630 85013260