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85774860 = 223251728031
BaseRepresentation
bin1010001110011…
…01001000001100
312222101210222200
411013031020030
5133424243420
612302241500
72061034323
oct507151014
9188353880
1085774860
1144465a16
1224886290
1314a02a72
14b56b0ba
1577e4b90
hex51cd20c

85774860 has 72 divisors (see below), whose sum is σ = 275498496. Its totient is φ = 21527040.

The previous prime is 85774847. The next prime is 85774867. The reversal of 85774860 is 6847758.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85774867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10956 + ... + 17075.

It is an arithmetic number, because the mean of its divisors is an integer number (3826368).

Almost surely, 285774860 is an apocalyptic number.

It is an amenable number.

85774860 is an abundant number, since it is smaller than the sum of its proper divisors (189723636).

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

85774860 is a wasteful number, since it uses less digits than its factorization.

85774860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28063 (or 28058 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 85774860 is about 9261.4718052802. The cubic root of 85774860 is about 441.0149778182.

The spelling of 85774860 in words is "eighty-five million, seven hundred seventy-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 28031 56062 84093 112124 140155 168186 252279 280310 336372 420465 476527 504558 560620 840930 953054 1009116 1261395 1429581 1681860 1906108 2382635 2522790 2859162 4288743 4765270 5045580 5718324 7147905 8577486 9530540 14295810 17154972 21443715 28591620 42887430 85774860