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6864060 = 2235759277
BaseRepresentation
bin11010001011110010111100
3110220201201110
4122023302330
53224122220
6403042020
7112225560
oct32136274
913821643
106864060
113969085
122370310
131564398
14ca96a0
15908be0
hex68bcbc

6864060 has 96 divisors (see below), whose sum is σ = 22417920. Its totient is φ = 1536768.

The previous prime is 6864059. The next prime is 6864079. The reversal of 6864060 is 604686.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 24642 + ... + 24918.

It is an arithmetic number, because the mean of its divisors is an integer number (233520).

Almost surely, 26864060 is an apocalyptic number.

6864060 is a gapful number since it is divisible by the number (60) 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 6864060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11208960).

6864060 is an abundant number, since it is smaller than the sum of its proper divisors (15553860).

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

6864060 is a wasteful number, since it uses less digits than its factorization.

6864060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6864060 is about 2619.9351137003. The cubic root of 6864060 is about 190.0467105838.

The spelling of 6864060 in words is "six million, eight hundred sixty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 277 295 354 413 420 554 590 708 826 831 885 1108 1180 1239 1385 1652 1662 1770 1939 2065 2478 2770 3324 3540 3878 4130 4155 4956 5540 5817 6195 7756 8260 8310 9695 11634 12390 16343 16620 19390 23268 24780 29085 32686 38780 49029 58170 65372 81715 98058 114401 116340 163430 196116 228802 245145 326860 343203 457604 490290 572005 686406 980580 1144010 1372812 1716015 2288020 3432030 6864060