Search a number
-
+
6104004160 = 265312292687
BaseRepresentation
bin1011010111101001…
…11011011001000000
3120202101202112120011
411223310323121000
5100000111113120
62445405554304
7304156115332
oct55364733100
916671675504
106104004160
112652607741
121224275994
137637b1ca7
1441c963452
1525ad2dc5a
hex16bd3b640

6104004160 has 112 divisors (see below), whose sum is σ = 15075164160. Its totient is φ = 2351646720.

The previous prime is 6104004149. The next prime is 6104004169. The reversal of 6104004160 is 614004016.

It is not an unprimeable number, because it can be changed into a prime (6104004169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2270337 + ... + 2273023.

It is an arithmetic number, because the mean of its divisors is an integer number (134599680).

Almost surely, 26104004160 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 6104004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537582080).

6104004160 is an abundant number, since it is smaller than the sum of its proper divisors (8971160000).

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

6104004160 is a wasteful number, since it uses less digits than its factorization.

6104004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 6104004160 is about 78128.1265614375. The cubic root of 6104004160 is about 1827.5598440370.

Adding to 6104004160 its reverse (614004016), we get a palindrome (6718008176).

The spelling of 6104004160 in words is "six billion, one hundred four million, four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 229 248 310 320 458 496 620 916 992 1145 1240 1832 1984 2290 2480 2687 3664 4580 4960 5374 7099 7328 9160 9920 10748 13435 14198 14656 18320 21496 26870 28396 35495 36640 42992 53740 56792 70990 73280 83297 85984 107480 113584 141980 166594 171968 214960 227168 283960 333188 416485 429920 454336 567920 615323 666376 832970 859840 1135840 1230646 1332752 1665940 2271680 2461292 2665504 3076615 3331880 4922584 5331008 6153230 6663760 9845168 12306460 13327520 19075013 19690336 24612920 26655040 38150026 39380672 49225840 76300052 95375065 98451680 152600104 190750130 196903360 305200208 381500260 610400416 763000520 1220800832 1526001040 3052002080 6104004160