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206190160 = 24511435449
BaseRepresentation
bin11000100101000…
…11011001010000
3112100222112201121
430102203121100
5410241041120
632243212024
75052405331
oct1422433120
9470875647
10206190160
11a64307a0
1259077014
1333943a17
141d554288
151317d5aa
hexc4a3650

206190160 has 80 divisors (see below), whose sum is σ = 535233600. Its totient is φ = 73221120.

The previous prime is 206190151. The next prime is 206190169. The reversal of 206190160 is 61091602.

It is an interprime number because it is at equal distance from previous prime (206190151) and next prime (206190169).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206190169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35116 + ... + 40564.

It is an arithmetic number, because the mean of its divisors is an integer number (6690420).

Almost surely, 2206190160 is an apocalyptic number.

206190160 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 206190160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267616800).

206190160 is an abundant number, since it is smaller than the sum of its proper divisors (329043440).

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

206190160 is a wasteful number, since it uses less digits than its factorization.

206190160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 206190160 is about 14359.3231038235. The cubic root of 206190160 is about 590.7757296029.

The spelling of 206190160 in words is "two hundred six million, one hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3784 4730 5449 7568 9460 10898 18920 21796 27245 37840 43592 54490 59939 87184 108980 119878 217960 234307 239756 299695 435920 468614 479512 599390 937228 959024 1171535 1198780 1874456 2343070 2397560 2577377 3748912 4686140 4795120 5154754 9372280 10309508 12886885 18744560 20619016 25773770 41238032 51547540 103095080 206190160