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206143000 = 235373601
BaseRepresentation
bin11000100100101…
…11111000011000
3112100220011000221
430102113320120
5410233034000
632242205424
75052121000
oct1422277030
9470804027
10206143000
11a63a9318
1259053874
133392840b
141d541000
151316e61a
hexc497e18

206143000 has 128 divisors (see below), whose sum is σ = 563472000. Its totient is φ = 70560000.

The previous prime is 206142983. The next prime is 206143001. The reversal of 206143000 is 341602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206143001) 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 31 ways as a sum of consecutive naturals, for example, 342700 + ... + 343300.

It is an arithmetic number, because the mean of its divisors is an integer number (4402125).

Almost surely, 2206143000 is an apocalyptic number.

206143000 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 206143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281736000).

206143000 is an abundant number, since it is smaller than the sum of its proper divisors (357329000).

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

206143000 is an equidigital number, since it uses as much as digits as its factorization.

206143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 206143000 is about 14357.6808712271. The cubic root of 206143000 is about 590.7306852487.

Adding to 206143000 its reverse (341602), we get a palindrome (206484602).

The spelling of 206143000 in words is "two hundred six million, one hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 343 350 392 490 500 601 686 700 875 980 1000 1202 1225 1372 1400 1715 1750 1960 2404 2450 2744 3005 3430 3500 4207 4808 4900 6010 6125 6860 7000 8414 8575 9800 12020 12250 13720 15025 16828 17150 21035 24040 24500 29449 30050 33656 34300 42070 42875 49000 58898 60100 68600 75125 84140 85750 105175 117796 120200 147245 150250 168280 171500 206143 210350 235592 294490 300500 343000 412286 420700 525875 588980 601000 736225 824572 841400 1030715 1051750 1177960 1472450 1649144 2061430 2103500 2944900 3681125 4122860 4207000 5153575 5889800 7362250 8245720 10307150 14724500 20614300 25767875 29449000 41228600 51535750 103071500 206143000