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84211160 = 235112127137
BaseRepresentation
bin1010000010011…
…11010111011000
312212110100222212
411001033113120
5133024224120
612204534252
72041532405
oct501172730
9185410885
1084211160
1143598100
1224251388
13145a60b7
14b2812ac
1575d66c5
hex504f5d8

84211160 has 96 divisors (see below), whose sum is σ = 211438080. Its totient is φ = 30159360.

The previous prime is 84211151. The next prime is 84211163. The reversal of 84211160 is 6111248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84211163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 614612 + ... + 614748.

It is an arithmetic number, because the mean of its divisors is an integer number (2202480).

Almost surely, 284211160 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 84211160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105719040).

84211160 is an abundant number, since it is smaller than the sum of its proper divisors (127226920).

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

84211160 is a wasteful number, since it uses less digits than its factorization.

84211160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 84211160 is about 9176.6638818255. The cubic root of 84211160 is about 438.3185828125.

The spelling of 84211160 in words is "eighty-four million, two hundred eleven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 127 137 220 242 254 274 440 484 508 548 605 635 685 968 1016 1096 1210 1270 1370 1397 1507 2420 2540 2740 2794 3014 4840 5080 5480 5588 6028 6985 7535 11176 12056 13970 15070 15367 16577 17399 27940 30140 30734 33154 34798 55880 60280 61468 66308 69596 76835 82885 86995 122936 132616 139192 153670 165770 173990 191389 307340 331540 347980 382778 614680 663080 695960 765556 956945 1531112 1913890 2105279 3827780 4210558 7655560 8421116 10526395 16842232 21052790 42105580 84211160