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206116020 = 2232511412539
BaseRepresentation
bin11000100100100…
…01010010110100
3112100211210000200
430102101102310
5410231203040
632241440500
75051646225
oct1422212264
9470753020
10206116020
11a6390020
1259040130
1333919056
141d53524c
1513166630
hexc4914b4

206116020 has 144 divisors (see below), whose sum is σ = 698967360. Its totient is φ = 48729600.

The previous prime is 206116019. The next prime is 206116039. The reversal of 206116020 is 20611602.

It is a happy number.

206116020 is a `hidden beast` number, since 2 + 0 + 61 + 1 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 206115984 and 206116002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79911 + ... + 82449.

It is an arithmetic number, because the mean of its divisors is an integer number (4853940).

Almost surely, 2206116020 is an apocalyptic number.

206116020 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 206116020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349483680).

206116020 is an abundant number, since it is smaller than the sum of its proper divisors (492851340).

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

206116020 is a wasteful number, since it uses less digits than its factorization.

206116020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 206116020 is about 14356.7412737014. The cubic root of 206116020 is about 590.7049125096.

Adding to 206116020 its reverse (20611602), we get a palindrome (226727622).

It can be divided in two parts, 2061 and 16020, that added together give a palindrome (18081).

The spelling of 206116020 in words is "two hundred six million, one hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2539 2706 3690 4059 4510 5078 5412 6765 7380 7617 8118 9020 10156 12695 13530 15234 16236 20295 22851 25390 27060 27929 30468 38085 40590 45702 50780 55858 76170 81180 83787 91404 104099 111716 114255 139645 152340 167574 208198 228510 251361 279290 312297 335148 416396 418935 457020 502722 520495 558580 624594 837870 936891 1005444 1040990 1145089 1249188 1256805 1561485 1675740 1873782 2081980 2290178 2513610 3122970 3435267 3747564 4580356 4684455 5027220 5725445 6245940 6870534 9368910 10305801 11450890 13741068 17176335 18737820 20611602 22901780 34352670 41223204 51529005 68705340 103058010 206116020