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2134823280 = 2435171927539
BaseRepresentation
bin111111100111110…
…1101000101110000
312111210001020222220
41333033231011300
513333003321110
6551500401040
7103621461402
oct17717550560
95453036886
102134823280
119a6063367
124b6b46180
13280391355
14163752b72
15c7645370
hex7f3ed170

2134823280 has 160 divisors (see below), whose sum is σ = 7376313600. Its totient is φ = 507580416.

The previous prime is 2134823267. The next prime is 2134823281. The reversal of 2134823280 is 823284312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134823281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63751 + ... + 91289.

It is an arithmetic number, because the mean of its divisors is an integer number (46101960).

Almost surely, 22134823280 is an apocalyptic number.

2134823280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134823280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688156800).

2134823280 is an abundant number, since it is smaller than the sum of its proper divisors (5241490320).

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

2134823280 is a wasteful number, since it uses less digits than its factorization.

2134823280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27591 (or 27585 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2134823280 is about 46204.1478657490. The cubic root of 2134823280 is about 1287.6188030002.

The spelling of 2134823280 in words is "two billion, one hundred thirty-four million, eight hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 34 38 40 48 51 57 60 68 76 80 85 95 102 114 120 136 152 170 190 204 228 240 255 272 285 304 323 340 380 408 456 510 570 646 680 760 816 912 969 1020 1140 1292 1360 1520 1615 1938 2040 2280 2584 3230 3876 4080 4560 4845 5168 6460 7752 9690 12920 15504 19380 25840 27539 38760 55078 77520 82617 110156 137695 165234 220312 275390 330468 413085 440624 468163 523241 550780 660936 826170 936326 1046482 1101560 1321872 1404489 1569723 1652340 1872652 2092964 2203120 2340815 2616205 2808978 3139446 3304680 3745304 4185928 4681630 5232410 5617956 6278892 6609360 7022445 7490608 7848615 8371856 8895097 9363260 10464820 11235912 12557784 14044890 15697230 17790194 18726520 20929640 22471824 25115568 26685291 28089780 31394460 35580388 37453040 41859280 44475485 53370582 56179560 62788920 71160776 88950970 106741164 112359120 125577840 133426455 142321552 177901940 213482328 266852910 355803880 426964656 533705820 711607760 1067411640 2134823280