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205678104 = 233173311523
BaseRepresentation
bin11000100001001…
…10011000011000
3112100000112022120
430100212120120
5410123144404
632224221240
75045143422
oct1420463030
9470015276
10205678104
11a6111005
1258a6a820
13337c4928
141d45d812
15130cb9d9
hexc426618

205678104 has 64 divisors (see below), whose sum is σ = 546445440. Its totient is φ = 64289280.

The previous prime is 205678103. The next prime is 205678129. The reversal of 205678104 is 401876502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205678103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134287 + ... + 135809.

It is an arithmetic number, because the mean of its divisors is an integer number (8538210).

Almost surely, 2205678104 is an apocalyptic number.

205678104 is a gapful number since it is divisible by the number (24) 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 205678104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273222720).

205678104 is an abundant number, since it is smaller than the sum of its proper divisors (340767336).

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

205678104 is a wasteful number, since it uses less digits than its factorization.

205678104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 205678104 is about 14341.4819317949. The cubic root of 205678104 is about 590.2862768526.

The spelling of 205678104 in words is "two hundred five million, six hundred seventy-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 331 408 662 993 1324 1523 1986 2648 3046 3972 4569 5627 6092 7944 9138 11254 12184 16881 18276 22508 25891 33762 36552 45016 51782 67524 77673 103564 135048 155346 207128 310692 504113 621384 1008226 1512339 2016452 3024678 4032904 6049356 8569921 12098712 17139842 25709763 34279684 51419526 68559368 102839052 205678104