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208104512 = 267113349
BaseRepresentation
bin11000110011101…
…10110001000000
3112111120210201112
430121312301000
5411233321022
632352222452
75104600460
oct1431666100
9474523645
10208104512
11a7519000
125983aa28
1334164185
141d8d1ba0
151340a8e2
hexc676c40

208104512 has 112 divisors (see below), whose sum is σ = 520598400. Its totient is φ = 80847360.

The previous prime is 208104503. The next prime is 208104521. The reversal of 208104512 is 215401802.

It is an interprime number because it is at equal distance from previous prime (208104503) and next prime (208104521).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596114 + ... + 596462.

It is an arithmetic number, because the mean of its divisors is an integer number (4648200).

Almost surely, 2208104512 is an apocalyptic number.

208104512 is a gapful number since it is divisible by the number (22) 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 208104512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260299200).

208104512 is an abundant number, since it is smaller than the sum of its proper divisors (312493888).

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

208104512 is an equidigital number, since it uses as much as digits as its factorization.

208104512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 208104512 is about 14425.8279485096. The cubic root of 208104512 is about 592.5984330875.

The spelling of 208104512 in words is "two hundred eight million, one hundred four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 349 352 448 484 616 698 704 847 968 1232 1331 1396 1694 1936 2443 2464 2662 2792 3388 3839 3872 4886 4928 5324 5584 6776 7678 7744 9317 9772 10648 11168 13552 15356 18634 19544 21296 22336 26873 27104 30712 37268 39088 42229 42592 53746 54208 61424 74536 78176 84458 85184 107492 122848 149072 156352 168916 214984 245696 295603 298144 337832 429968 464519 591206 596288 675664 859936 929038 1182412 1351328 1719872 1858076 2364824 2702656 3251633 3716152 4729648 6503266 7432304 9459296 13006532 14864608 18918592 26013064 29729216 52026128 104052256 208104512