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2106704208 = 243753281421
BaseRepresentation
bin111110110010001…
…1100000101010000
312102211010122212210
41331210130011100
513303304013313
6545013552120
7103130455530
oct17544340520
95384118783
102106704208
119911a8064
124a9645640
132775c754b
1415db134c0
15c4e3d9c3
hex7d91c150

2106704208 has 160 divisors (see below), whose sum is σ = 6374806272. Its totient is φ = 587059200.

The previous prime is 2106704191. The next prime is 2106704221. The reversal of 2106704208 is 8024076012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5003838 + ... + 5004258.

Almost surely, 22106704208 is an apocalyptic number.

2106704208 is a gapful number since it is divisible by the number (28) 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 2106704208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187403136).

2106704208 is an abundant number, since it is smaller than the sum of its proper divisors (4268102064).

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

2106704208 is a wasteful number, since it uses less digits than its factorization.

2106704208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2106704208 is about 45898.8475672320. The cubic root of 2106704208 is about 1281.9404585037.

The spelling of 2106704208 in words is "two billion, one hundred six million, seven hundred four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 281 318 336 371 421 424 562 636 742 842 843 848 1113 1124 1263 1272 1484 1684 1686 1967 2226 2248 2526 2544 2947 2968 3368 3372 3934 4452 4496 5052 5894 5901 5936 6736 6744 7868 8841 8904 10104 11788 11802 13488 14893 15736 17682 17808 20208 22313 23576 23604 29786 31472 35364 44626 44679 47152 47208 59572 66939 70728 89252 89358 94416 104251 118301 119144 133878 141456 156191 178504 178716 208502 236602 238288 267756 312382 312753 354903 357008 357432 417004 468573 473204 535512 624764 625506 709806 714864 828107 834008 937146 946408 1071024 1249528 1251012 1419612 1656214 1668016 1874292 1892816 2484321 2499056 2502024 2839224 3312428 3748584 4968642 5004048 5678448 6269953 6624856 7497168 9937284 12539906 13249712 18809859 19874568 25079812 37619718 39749136 43889671 50159624 75239436 87779342 100319248 131669013 150478872 175558684 263338026 300957744 351117368 526676052 702234736 1053352104 2106704208