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206560120 = 235131632437
BaseRepresentation
bin11000100111111…
…01101101111000
3112101200100012211
430103331231320
5410334410440
632255144504
75055506044
oct1423755570
9471610184
10206560120
11a6663748
1259215134
1333a43230
141d60d024
1513202eea
hexc4fdb78

206560120 has 64 divisors (see below), whose sum is σ = 503788320. Its totient is φ = 75769344.

The previous prime is 206560117. The next prime is 206560157. The reversal of 206560120 is 21065602.

It is a junction number, because it is equal to n+sod(n) for n = 206560091 and 206560100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83542 + ... + 85978.

Almost surely, 2206560120 is an apocalyptic number.

206560120 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 206560120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251894160).

206560120 is an abundant number, since it is smaller than the sum of its proper divisors (297228200).

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

206560120 is a wasteful number, since it uses less digits than its factorization.

206560120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 206560120 is about 14372.1995533043. The cubic root of 206560120 is about 591.1288547614.

The spelling of 206560120 in words is "two hundred six million, five hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 163 260 326 520 652 815 1304 1630 2119 2437 3260 4238 4874 6520 8476 9748 10595 12185 16952 19496 21190 24370 31681 42380 48740 63362 84760 97480 126724 158405 253448 316810 397231 633620 794462 1267240 1588924 1986155 3177848 3972310 5164003 7944620 10328006 15889240 20656012 25820015 41312024 51640030 103280060 206560120