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85681760 = 255535511
BaseRepresentation
bin1010001101101…
…10011001100000
312222020002021112
411012312121200
5133413304020
612300242452
72060166023
oct506663140
9188202245
1085681760
1144401a7a
1224840428
131499c588
14b5451ba
1577c72c5
hex51b6660

85681760 has 24 divisors (see below), whose sum is σ = 202423536. Its totient is φ = 34272640.

The previous prime is 85681753. The next prime is 85681763. The reversal of 85681760 is 6718658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85681763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267596 + ... + 267915.

It is an arithmetic number, because the mean of its divisors is an integer number (8434314).

Almost surely, 285681760 is an apocalyptic number.

85681760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85681760 is an abundant number, since it is smaller than the sum of its proper divisors (116741776).

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

85681760 is a wasteful number, since it uses less digits than its factorization.

85681760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535526 (or 535518 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 85681760 is about 9256.4442417161. Note that the first 3 decimals coincide. The cubic root of 85681760 is about 440.8553608926.

The spelling of 85681760 in words is "eighty-five million, six hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 535511 1071022 2142044 2677555 4284088 5355110 8568176 10710220 17136352 21420440 42840880 85681760