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206203104 = 2533415821
BaseRepresentation
bin11000100101001…
…10100011100000
3112101000012111000
430102212203200
5410241444404
632243352000
75052461142
oct1422464340
9471005430
10206203104
11a643a498
1259082600
1333949893
141d558c92
1513182339
hexc4a68e0

206203104 has 96 divisors (see below), whose sum is σ = 616200480. Its totient is φ = 67046400.

The previous prime is 206203091. The next prime is 206203117. The reversal of 206203104 is 401302602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (206203091) and next prime (206203117).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 32514 + ... + 38334.

It is an arithmetic number, because the mean of its divisors is an integer number (6418755).

Almost surely, 2206203104 is an apocalyptic number.

206203104 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 206203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308100240).

206203104 is an abundant number, since it is smaller than the sum of its proper divisors (409997376).

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

206203104 is a wasteful number, since it uses less digits than its factorization.

206203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 206203104 is about 14359.7738143747. The cubic root of 206203104 is about 590.7880917206.

Adding to 206203104 its reverse (401302602), we get a palindrome (607505706).

The spelling of 206203104 in words is "two hundred six million, two hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5821 5904 8856 11642 11808 17463 17712 23284 34926 35424 46568 52389 69852 93136 104778 139704 157167 186272 209556 238661 279408 314334 419112 477322 558816 628668 715983 838224 954644 1257336 1431966 1676448 1909288 2147949 2514672 2863932 3818576 4295898 5029344 5727864 6443847 7637152 8591796 11455728 12887694 17183592 22911456 25775388 34367184 51550776 68734368 103101552 206203104