Search a number
-
+
6460160 = 28572103
BaseRepresentation
bin11000101001001100000000
3110011012200012
4120221030000
53123211120
6350244052
7105624200
oct30511400
913135605
106460160
113712683
1221b6628
1314525a5
14c02400
158791c5
hex629300

6460160 has 108 divisors (see below), whose sum is σ = 18175248. Its totient is φ = 2193408.

The previous prime is 6460147. The next prime is 6460169. The reversal of 6460160 is 610646.

It is not an unprimeable number, because it can be changed into a prime (6460169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62669 + ... + 62771.

Almost surely, 26460160 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 6460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087624).

6460160 is an abundant number, since it is smaller than the sum of its proper divisors (11715088).

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

6460160 is a wasteful number, since it uses less digits than its factorization.

6460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 6460160 is about 2541.6844808119. The cubic root of 6460160 is about 186.2434858013.

The spelling of 6460160 in words is "six million, four hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 103 112 128 140 160 196 206 224 245 256 280 320 392 412 448 490 515 560 640 721 784 824 896 980 1030 1120 1280 1442 1568 1648 1792 1960 2060 2240 2884 3136 3296 3605 3920 4120 4480 5047 5768 6272 6592 7210 7840 8240 8960 10094 11536 12544 13184 14420 15680 16480 20188 23072 25235 26368 28840 31360 32960 40376 46144 50470 57680 62720 65920 80752 92288 100940 115360 131840 161504 184576 201880 230720 323008 403760 461440 646016 807520 922880 1292032 1615040 3230080 6460160