Search a number
-
+
2004540204 = 22319291571931
BaseRepresentation
bin111011101111010…
…1101101100101100
312011200220012012210
41313132231230230
513101130241304
6530524130420
7100450211352
oct16736555454
95150805183
102004540204
119395687a7
1247b396a10
1325c3a6a84
1415031b7d2
15baeacc89
hex777adb2c

2004540204 has 96 divisors (see below), whose sum is σ = 5128300800. Its totient is φ = 606977280.

The previous prime is 2004540203. The next prime is 2004540217. The reversal of 2004540204 is 4020454002.

It is not an unprimeable number, because it can be changed into a prime (2004540203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037119 + ... + 1039049.

It is an arithmetic number, because the mean of its divisors is an integer number (53419800).

Almost surely, 22004540204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004540204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564150400).

2004540204 is an abundant number, since it is smaller than the sum of its proper divisors (3123760596).

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

2004540204 is a wasteful number, since it uses less digits than its factorization.

2004540204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2004540204 is about 44772.0917983513. The cubic root of 2004540204 is about 1260.8737124761.

Adding to 2004540204 its reverse (4020454002), we get a palindrome (6024994206).

The spelling of 2004540204 in words is "two billion, four million, five hundred forty thousand, two hundred four".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 157 174 228 314 348 471 551 628 942 1102 1653 1884 1931 2204 2983 3306 3862 4553 5793 5966 6612 7724 8949 9106 11586 11932 13659 17898 18212 23172 27318 35796 36689 54636 55999 73378 86507 110067 111998 146756 167997 173014 220134 223996 259521 303167 335994 346028 440268 519042 606334 671988 909501 1038084 1063981 1212668 1819002 2127962 3191943 3638004 4255924 5760173 6383886 8791843 11520346 12767772 17280519 17583686 23040692 26375529 34561038 35167372 52751058 69122076 105502116 167045017 334090034 501135051 668180068 1002270102 2004540204