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206886120 = 233571631511
BaseRepresentation
bin11000101010011…
…01010011101000
3112102021220101220
430111031103220
5410430323440
632310142040
75061334350
oct1425152350
9472256356
10206886120
11a6866671
1259351920
1333b2872c
141d695b60
15132698d0
hexc54d4e8

206886120 has 128 divisors (see below), whose sum is σ = 714147840. Its totient is φ = 46967040.

The previous prime is 206886103. The next prime is 206886131. The reversal of 206886120 is 21688602.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 136165 + ... + 137675.

It is an arithmetic number, because the mean of its divisors is an integer number (5579280).

Almost surely, 2206886120 is an apocalyptic number.

206886120 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 206886120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357073920).

206886120 is an abundant number, since it is smaller than the sum of its proper divisors (507261720).

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

206886120 is a wasteful number, since it uses less digits than its factorization.

206886120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 206886120 is about 14383.5364218957. The cubic root of 206886120 is about 591.4396709959.

It can be divided in two parts, 2068 and 86120, that added together give a palindrome (88188).

The spelling of 206886120 in words is "two hundred six million, eight hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 163 168 210 280 326 420 489 652 815 840 978 1141 1304 1511 1630 1956 2282 2445 3022 3260 3423 3912 4533 4564 4890 5705 6044 6520 6846 7555 9066 9128 9780 10577 11410 12088 13692 15110 17115 18132 19560 21154 22665 22820 27384 30220 31731 34230 36264 42308 45330 45640 52885 60440 63462 68460 84616 90660 105770 126924 136920 158655 181320 211540 246293 253848 317310 423080 492586 634620 738879 985172 1231465 1269240 1477758 1724051 1970344 2462930 2955516 3448102 3694395 4925860 5172153 5911032 6896204 7388790 8620255 9851720 10344306 13792408 14777580 17240510 20688612 25860765 29555160 34481020 41377224 51721530 68962040 103443060 206886120