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2124481320 = 2332513453949
BaseRepresentation
bin111111010100001…
…0000001100101000
312111001120211111100
41332220100030220
513322331400240
6550451001400
7103434536043
oct17650201450
95431524440
102124481320
119a023a295
124b3599260
1327b1acc50
1416221dc5a
15c67a0e30
hex7ea10328

2124481320 has 96 divisors (see below), whose sum is σ = 7435701000. Its totient is φ = 522948096.

The previous prime is 2124481231. The next prime is 2124481339. The reversal of 2124481320 is 231844212.

2124481320 is a `hidden beast` number, since 21 + 244 + 81 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 885300516 + 1239180804 = 29754^2 + 35202^2 .

It is an unprimeable number.

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, 222295 + ... + 231654.

Almost surely, 22124481320 is an apocalyptic number.

2124481320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124481320 is an abundant number, since it is smaller than the sum of its proper divisors (5311219680).

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

2124481320 is a wasteful number, since it uses less digits than its factorization.

2124481320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453979 (or 453972 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2124481320 is about 46092.0960686320. The cubic root of 2124481320 is about 1285.5361850656.

The spelling of 2124481320 in words is "two billion, one hundred twenty-four million, four hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 453949 907898 1361847 1815796 2269745 2723694 3631592 4085541 4539490 5447388 5901337 6809235 8171082 9078980 10894776 11802674 13618470 16342164 17704011 18157960 20427705 23605348 27236940 29506685 32684328 35408022 40855410 47210696 53112033 54473880 59013370 70816044 81710820 88520055 106224066 118026740 141632088 163421640 177040110 212448132 236053480 265560165 354080220 424896264 531120330 708160440 1062240660 2124481320