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84240860 = 225113779131
BaseRepresentation
bin1010000010101…
…10100111011100
312212111212201212
411001112213130
5133031201420
612205323552
72042015114
oct501264734
9185455655
1084240860
1143608450
12242665b8
13145b6782
14b28c044
1575e03c5
hex50569dc

84240860 has 96 divisors (see below), whose sum is σ = 202245120. Its totient is φ = 29203200.

The previous prime is 84240859. The next prime is 84240869. The reversal of 84240860 is 6804248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84240869) 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 31 ways as a sum of consecutive naturals, for example, 642995 + ... + 643125.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 284240860 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 84240860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101122560).

84240860 is an abundant number, since it is smaller than the sum of its proper divisors (118004260).

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

84240860 is a wasteful number, since it uses less digits than its factorization.

84240860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 84240860 is about 9178.2819743131. The cubic root of 84240860 is about 438.3701061964.

The spelling of 84240860 in words is "eighty-four million, two hundred forty thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 79 110 131 148 158 185 220 262 316 370 395 407 524 655 740 790 814 869 1310 1441 1580 1628 1738 2035 2620 2882 2923 3476 4070 4345 4847 5764 5846 7205 8140 8690 9694 10349 11692 14410 14615 17380 19388 20698 24235 28820 29230 32153 41396 48470 51745 53317 58460 64306 96940 103490 106634 113839 128612 160765 206980 213268 227678 266585 321530 382913 455356 533170 569195 643060 765826 1066340 1138390 1531652 1914565 2276780 3829130 4212043 7658260 8424086 16848172 21060215 42120430 84240860