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205424076 = 2231113592029
BaseRepresentation
bin11000011111010…
…00010111001100
3112022112121212010
430033220113030
5410042032301
632214541220
75043035004
oct1417502714
9468477763
10205424076
11a5a58170
1258967810
1333736110
141d3d5004
151307b5d6
hexc3e85cc

205424076 has 96 divisors (see below), whose sum is σ = 572947200. Its totient is φ = 56459520.

The previous prime is 205424059. The next prime is 205424083. The reversal of 205424076 is 670424502.

205424076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100230 + ... + 102258.

It is an arithmetic number, because the mean of its divisors is an integer number (5968200).

Almost surely, 2205424076 is an apocalyptic number.

205424076 is a gapful number since it is divisible by the number (26) 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 205424076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286473600).

205424076 is an abundant number, since it is smaller than the sum of its proper divisors (367523124).

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

205424076 is a wasteful number, since it uses less digits than its factorization.

205424076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 205424076 is about 14332.6227885897. The cubic root of 205424076 is about 590.0431606844.

Adding to 205424076 its reverse (670424502), we get a palindrome (875848578).

The spelling of 205424076 in words is "two hundred five million, four hundred twenty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 59 66 78 118 132 143 156 177 236 286 354 429 572 649 708 767 858 1298 1534 1716 1947 2029 2301 2596 3068 3894 4058 4602 6087 7788 8116 8437 9204 12174 16874 22319 24348 25311 26377 33748 44638 50622 52754 66957 79131 89276 101244 105508 119711 133914 158262 239422 267828 290147 316524 359133 478844 580294 718266 870441 1160588 1316821 1436532 1556243 1740882 2633642 3112486 3481764 3950463 4668729 5267284 6224972 7900926 9337458 15801852 17118673 18674916 34237346 51356019 68474692 102712038 205424076