Search a number
-
+
209908140 = 2235132127163
BaseRepresentation
bin11001000001011…
…11000110101100
3112121222102211120
430200233012230
5412214030030
632455020540
75126122041
oct1440570654
9477872746
10209908140
11a8540102
125a36a750
1334646100
141dc411c8
1513665010
hexc82f1ac

209908140 has 144 divisors (see below), whose sum is σ = 645378048. Its totient is φ = 50948352.

The previous prime is 209908133. The next prime is 209908147. The reversal of 209908140 is 41809902.

209908140 = T64 + T65 + ... + T1079.

It is an interprime number because it is at equal distance from previous prime (209908133) and next prime (209908147).

It is a super-2 number, since 2×2099081402 = 88122854476519200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (209908147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1287699 + ... + 1287861.

It is an arithmetic number, because the mean of its divisors is an integer number (4481792).

Almost surely, 2209908140 is an apocalyptic number.

209908140 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 209908140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322689024).

209908140 is an abundant number, since it is smaller than the sum of its proper divisors (435469908).

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

209908140 is a wasteful number, since it uses less digits than its factorization.

209908140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 209908140 is about 14488.2069283952. The cubic root of 209908140 is about 594.3055145933.

The spelling of 209908140 in words is "two hundred nine million, nine hundred eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 163 169 195 254 260 326 338 381 390 489 507 508 635 652 676 762 780 815 845 978 1014 1270 1524 1630 1651 1690 1905 1956 2028 2119 2445 2535 2540 3260 3302 3380 3810 4238 4890 4953 5070 6357 6604 7620 8255 8476 9780 9906 10140 10595 12714 16510 19812 20701 21190 21463 24765 25428 27547 31785 33020 41402 42380 42926 49530 55094 62103 63570 64389 82641 82804 85852 99060 103505 107315 110188 124206 127140 128778 137735 165282 207010 214630 248412 257556 269113 275470 310515 321945 330564 413205 414020 429260 538226 550940 621030 643890 807339 826410 1076452 1242060 1287780 1345565 1614678 1652820 2691130 3229356 3498469 4036695 5382260 6996938 8073390 10495407 13993876 16146780 17492345 20990814 34984690 41981628 52477035 69969380 104954070 209908140