Search a number
-
+
208118680 = 2357411197
BaseRepresentation
bin11000110011110…
…10001110011000
3112111121112011021
430121322032120
5411234244210
632352412224
75104660000
oct1431721630
9474545137
10208118680
11a7528710
1259847074
133416a763
141d8d7000
151340ebda
hexc67a398

208118680 has 160 divisors (see below), whose sum is σ = 598965840. Its totient is φ = 64538880.

The previous prime is 208118671. The next prime is 208118689. The reversal of 208118680 is 86811802.

208118680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208118671) and next prime (208118689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208118689) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1056342 + ... + 1056538.

Almost surely, 2208118680 is an apocalyptic number.

208118680 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 208118680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299482920).

208118680 is an abundant number, since it is smaller than the sum of its proper divisors (390847160).

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

208118680 is a wasteful number, since it uses less digits than its factorization.

208118680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 208118680 is about 14426.3190038208. The cubic root of 208118680 is about 592.6118810485.

The spelling of 208118680 in words is "two hundred eight million, one hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 197 220 245 280 308 343 385 392 394 440 490 539 616 686 770 788 980 985 1078 1372 1379 1540 1576 1715 1960 1970 2156 2167 2401 2695 2744 2758 3080 3430 3773 3940 4312 4334 4802 5390 5516 6860 6895 7546 7880 8668 9604 9653 10780 10835 11032 12005 13720 13790 15092 15169 17336 18865 19208 19306 21560 21670 24010 26411 27580 30184 30338 37730 38612 43340 48020 48265 52822 55160 60676 67571 75460 75845 77224 86680 96040 96530 105644 106183 121352 132055 135142 150920 151690 193060 211288 212366 264110 270284 303380 337855 386120 424732 472997 528220 530915 540568 606760 675710 743281 849464 945994 1056440 1061830 1351420 1486562 1891988 2123660 2364985 2702840 2973124 3716405 3783976 4247320 4729970 5202967 5946248 7432810 9459940 10405934 14865620 18919880 20811868 26014835 29731240 41623736 52029670 104059340 208118680