Search a number
-
+
2138028204 = 22313231075569
BaseRepresentation
bin111111101101111…
…1011100010101100
312112000002002022210
41333123323202230
513334313400304
6552053210420
7103660640244
oct17733734254
95460062283
102138028204
119a7952264
124b8030a10
13280c44060
14163d48b24
15c7a79c89
hex7f6fb8ac

2138028204 has 96 divisors (see below), whose sum is σ = 5659476480. Its totient is φ = 623259648.

The previous prime is 2138028203. The next prime is 2138028251. The reversal of 2138028204 is 4028208312.

It is not an unprimeable number, because it can be changed into a prime (2138028203) 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, 381132 + ... + 386700.

It is an arithmetic number, because the mean of its divisors is an integer number (58952880).

Almost surely, 22138028204 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 2138028204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829738240).

2138028204 is an abundant number, since it is smaller than the sum of its proper divisors (3521448276).

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

2138028204 is a wasteful number, since it uses less digits than its factorization.

2138028204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2138028204 is about 46238.8170696440. The cubic root of 2138028204 is about 1288.2628308644.

The spelling of 2138028204 in words is "two billion, one hundred thirty-eight million, twenty-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 107 138 156 214 276 299 321 428 598 642 897 1196 1284 1391 1794 2461 2782 3588 4173 4922 5564 5569 7383 8346 9844 11138 14766 16692 16707 22276 29532 31993 33414 63986 66828 72397 95979 127972 128087 144794 191958 217191 256174 289588 383916 384261 434382 512348 595883 768522 868764 1191766 1537044 1665131 1787649 2383532 3330262 3575298 4995393 6660524 7150596 7746479 9990786 13705309 15492958 19981572 23239437 27410618 30985916 41115927 46478874 54821236 82231854 92957748 164463708 178169017 356338034 534507051 712676068 1069014102 2138028204