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4005361340 = 225417189773
BaseRepresentation
bin1110111010111100…
…1111011010111100
3101100010210102211022
43232233033122330
531200333030330
61501240443312
7201154003211
oct35657173274
911303712738
104005361340
111775a16292
12939479538
134baa7aac6
1429dd4bb08
15186983ae5
hexeebcf6bc

4005361340 has 96 divisors (see below), whose sum is σ = 8847377280. Its totient is φ = 1521766400.

The previous prime is 4005361337. The next prime is 4005361357. The reversal of 4005361340 is 431635004.

It is a congruent number.

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, 5181194 + ... + 5181966.

It is an arithmetic number, because the mean of its divisors is an integer number (92160180).

Almost surely, 24005361340 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 4005361340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423688640).

4005361340 is an abundant number, since it is smaller than the sum of its proper divisors (4842015940).

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

4005361340 is a wasteful number, since it uses less digits than its factorization.

4005361340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 4005361340 is about 63287.9241245911. The cubic root of 4005361340 is about 1588.1099517377.

Adding to 4005361340 its reverse (431635004), we get a palindrome (4436996344).

The spelling of 4005361340 in words is "four billion, five million, three hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 71 82 89 142 164 178 205 284 355 356 410 445 710 773 820 890 1420 1546 1780 2911 3092 3649 3865 5822 6319 7298 7730 11644 12638 14555 14596 15460 18245 25276 29110 31595 31693 36490 54883 58220 63190 63386 68797 72980 109766 126380 126772 137594 158465 219532 259079 274415 275188 316930 343985 518158 548830 633860 687970 1036316 1097660 1295395 1375940 2250203 2590790 2820677 4500406 4884587 5181580 5641354 9000812 9769174 11251015 11282708 14103385 19538348 22502030 24422935 28206770 45004060 48845870 56413540 97691740 200268067 400536134 801072268 1001340335 2002680670 4005361340