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204420260 = 2251141131173
BaseRepresentation
bin11000010111100…
…11010010100100
3112020122121212202
430023303102210
5404312422020
632141234032
75031354302
oct1413632244
9466577782
10204420260
11a5431a70
1258562918
1333474245
141d213272
1512e2de75
hexc2f34a4

204420260 has 96 divisors (see below), whose sum is σ = 486186624. Its totient is φ = 71552000.

The previous prime is 204420241. The next prime is 204420269. The reversal of 204420260 is 62024402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (204420269) by changing a digit.

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, 1181534 + ... + 1181706.

It is an arithmetic number, because the mean of its divisors is an integer number (5064444).

Almost surely, 2204420260 is an apocalyptic number.

204420260 is a gapful number since it is divisible by the number (20) 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 204420260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243093312).

204420260 is an abundant number, since it is smaller than the sum of its proper divisors (281766364).

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

204420260 is a wasteful number, since it uses less digits than its factorization.

204420260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 204420260 is about 14297.5613305207. The cubic root of 204420260 is about 589.0804982012.

Adding to 204420260 its reverse (62024402), we get a palindrome (266444662).

The spelling of 204420260 in words is "two hundred four million, four hundred twenty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 131 164 173 205 220 262 346 410 451 524 655 692 820 865 902 1310 1441 1730 1804 1903 2255 2620 2882 3460 3806 4510 5371 5764 7093 7205 7612 9020 9515 10742 14186 14410 19030 21484 22663 26855 28372 28820 35465 38060 45326 53710 59081 70930 78023 90652 107420 113315 118162 141860 156046 226630 236324 249293 295405 312092 390115 453260 498586 590810 780230 929183 997172 1181620 1246465 1560460 1858366 2492930 3716732 4645915 4985860 9291830 10221013 18583660 20442026 40884052 51105065 102210130 204420260