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205026630 = 23517894517
BaseRepresentation
bin11000011100001…
…11010101000110
3112021210102122220
430032013111012
5404441323010
632202233210
75036461164
oct1416072506
9467712586
10205026630
11a58065a6
12587b5806
1333627243
141d330234
1512eed970
hexc387546

205026630 has 64 divisors (see below), whose sum is σ = 526979520. Its totient is φ = 50868224.

The previous prime is 205026617. The next prime is 205026649. The reversal of 205026630 is 36620502.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205026630.

It is a congruent number.

It is an unprimeable number.

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, 43132 + ... + 47648.

It is an arithmetic number, because the mean of its divisors is an integer number (8234055).

Almost surely, 2205026630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205026630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263489760).

205026630 is an abundant number, since it is smaller than the sum of its proper divisors (321952890).

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

205026630 is a wasteful number, since it uses less digits than its factorization.

205026630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 205026630 is about 14318.7509930161. The cubic root of 205026630 is about 589.6623846467.

It can be divided in two parts, 2050 and 26630, that added together give a triangular number (28680 = T239).

The spelling of 205026630 in words is "two hundred five million, twenty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 89 102 170 178 255 267 445 510 534 890 1335 1513 2670 3026 4517 4539 7565 9034 9078 13551 15130 22585 22695 27102 45170 45390 67755 76789 135510 153578 230367 383945 402013 460734 767890 804026 1151835 1206039 2010065 2303670 2412078 4020130 6030195 6834221 12060390 13668442 20502663 34171105 41005326 68342210 102513315 205026630