Search a number
-
+
6391968 = 253116053
BaseRepresentation
bin11000011000100010100000
3110000202010120
4120120202200
53114020333
6345000240
7105221322
oct30304240
913022116
106391968
113676420
122183080
13142a53b
14bc5612
15863db3
hex6188a0

6391968 has 48 divisors (see below), whose sum is σ = 18307296. Its totient is φ = 1936640.

The previous prime is 6391963. The next prime is 6391991. The reversal of 6391968 is 8691936.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (6391963) 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 7 ways as a sum of consecutive naturals, for example, 1971 + ... + 4082.

It is an arithmetic number, because the mean of its divisors is an integer number (381402).

Almost surely, 26391968 is an apocalyptic number.

It is an amenable number.

6391968 is an abundant number, since it is smaller than the sum of its proper divisors (11915328).

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

6391968 is a wasteful number, since it uses less digits than its factorization.

6391968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6069 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 6391968 is about 2528.2341663699. The cubic root of 6391968 is about 185.5858515771.

Subtracting 6391968 from its reverse (8691936), we obtain a cube (2299968 = 1323).

The spelling of 6391968 in words is "six million, three hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 6053 12106 18159 24212 36318 48424 66583 72636 96848 133166 145272 193696 199749 266332 290544 399498 532664 581088 798996 1065328 1597992 2130656 3195984 6391968