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85066520 = 23571171389
BaseRepresentation
bin1010001001000…
…00001100011000
312221001211022212
411010200030120
5133234112040
612235134252
72052024230
oct504401430
9187054285
1085066520
1144021810
12245a4388
1314815526
14b424cc0
157704d65
hex5120318

85066520 has 128 divisors (see below), whose sum is σ = 242611200. Its totient is φ = 26073600.

The previous prime is 85066519. The next prime is 85066523. The reversal of 85066520 is 2566058.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85066523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218486 + ... + 218874.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 285066520 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 85066520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121305600).

85066520 is an abundant number, since it is smaller than the sum of its proper divisors (157544680).

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

85066520 is a wasteful number, since it uses less digits than its factorization.

85066520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 85066520 is about 9223.1513052752. The cubic root of 85066520 is about 439.7976342145.

The spelling of 85066520 in words is "eighty-five million, sixty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 71 77 88 110 140 142 154 220 280 284 308 355 385 389 440 497 568 616 710 770 778 781 994 1420 1540 1556 1562 1945 1988 2485 2723 2840 3080 3112 3124 3890 3905 3976 4279 4970 5446 5467 6248 7780 7810 8558 9940 10892 10934 13615 15560 15620 17116 19880 21395 21784 21868 27230 27335 27619 29953 31240 34232 42790 43736 54460 54670 55238 59906 85580 108920 109340 110476 119812 138095 149765 171160 193333 218680 220952 239624 276190 299530 303809 386666 552380 599060 607618 773332 966665 1104760 1198120 1215236 1519045 1546664 1933330 2126663 2430472 3038090 3866660 4253326 6076180 7733320 8506652 10633315 12152360 17013304 21266630 42533260 85066520