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206010112 = 2872111493
BaseRepresentation
bin11000100011101…
…11011100000000
3112100122101202011
430101313130000
5410214310422
632235302304
75051025400
oct1421673400
9470571664
10206010112
11a63184a0
1258baa994
13338aca99
141d508800
1513145077
hexc477700

206010112 has 108 divisors (see below), whose sum is σ = 522188856. Its totient is φ = 80209920.

The previous prime is 206010089. The next prime is 206010137. The reversal of 206010112 is 211010602.

It is a junction number, because it is equal to n+sod(n) for n = 206010092 and 206010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137238 + ... + 138730.

It is an arithmetic number, because the mean of its divisors is an integer number (4835082).

Almost surely, 2206010112 is an apocalyptic number.

206010112 is a gapful number since it is divisible by the number (22) 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 206010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261094428).

206010112 is an abundant number, since it is smaller than the sum of its proper divisors (316178744).

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

206010112 is a wasteful number, since it uses less digits than its factorization.

206010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 206010112 is about 14353.0523582965. The cubic root of 206010112 is about 590.6037217757.

Adding to 206010112 its reverse (211010602), we get a palindrome (417020714).

The spelling of 206010112 in words is "two hundred six million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 539 616 704 784 896 1078 1232 1408 1493 1568 1792 2156 2464 2816 2986 3136 4312 4928 5972 6272 8624 9856 10451 11944 12544 16423 17248 19712 20902 23888 32846 34496 41804 47776 65692 68992 73157 83608 95552 114961 131384 137984 146314 167216 191104 229922 262768 292628 334432 382208 459844 525536 585256 668864 804727 919688 1051072 1170512 1337728 1609454 1839376 2102144 2341024 2675456 3218908 3678752 4204288 4682048 6437816 7357504 9364096 12875632 14715008 18728192 25751264 29430016 51502528 103005056 206010112