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206068032 = 26323471031
BaseRepresentation
bin11000100100001…
…01100101000000
3112100202100012100
430102011211000
5410223134112
632240430400
75051356302
oct1422054500
9470670170
10206068032
11a6357a65
1259018400
1333900261
141d521972
15131572dc
hexc485940

206068032 has 84 divisors (see below), whose sum is σ = 592933536. Its totient is φ = 68424960.

The previous prime is 206068021. The next prime is 206068073. The reversal of 206068032 is 230860602.

206068032 is a `hidden beast` number, since 20 + 606 + 8 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 206067987 and 206068005.

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, 199357 + ... + 200387.

Almost surely, 2206068032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296466768).

206068032 is an abundant number, since it is smaller than the sum of its proper divisors (386865504).

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

206068032 is a wasteful number, since it uses less digits than its factorization.

206068032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 206068032 is about 14355.0699057859. The cubic root of 206068032 is about 590.6590662471.

The spelling of 206068032 in words is "two hundred six million, sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 347 576 694 1031 1041 1388 2062 2082 2776 3093 3123 4124 4164 5552 6186 6246 8248 8328 9279 11104 12372 12492 16496 16656 18558 22208 24744 24984 32992 33312 37116 49488 49968 65984 66624 74232 98976 99936 148464 197952 199872 296928 357757 593856 715514 1073271 1431028 2146542 2862056 3219813 4293084 5724112 6439626 8586168 11448224 12879252 17172336 22896448 25758504 34344672 51517008 68689344 103034016 206068032