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6494880 = 253571933
BaseRepresentation
bin11000110001101010100000
3110012222022010
4120301222200
53130314010
6351112520
7106130340
oct30615240
913188263
106494880
113736777
122212740
131465332
14c10d20
15884620
hex631aa0

6494880 has 96 divisors (see below), whose sum is σ = 23393664. Its totient is φ = 1483776.

The previous prime is 6494863. The next prime is 6494881. The reversal of 6494880 is 884946.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6494881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2394 + ... + 4326.

It is an arithmetic number, because the mean of its divisors is an integer number (243684).

Almost surely, 26494880 is an apocalyptic number.

6494880 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 6494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696832).

6494880 is an abundant number, since it is smaller than the sum of its proper divisors (16898784).

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

6494880 is a wasteful number, since it uses less digits than its factorization.

6494880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 6494880 is about 2548.5054443732. The cubic root of 6494880 is about 186.5765437972.

The spelling of 6494880 in words is "six million, four hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 1933 3360 3866 5799 7732 9665 11598 13531 15464 19330 23196 27062 28995 30928 38660 40593 46392 54124 57990 61856 67655 77320 81186 92784 108248 115980 135310 154640 162372 185568 202965 216496 231960 270620 309280 324744 405930 432992 463920 541240 649488 811860 927840 1082480 1298976 1623720 2164960 3247440 6494880