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6680880 = 243451031
BaseRepresentation
bin11001011111000100110000
3110120102110000
4121133010300
53202242010
6355110000
7110533533
oct31370460
913512400
106680880
113853498
1222a2300
1314cbbab
14c5ca1a
158be7c0
hex65f130

6680880 has 100 divisors (see below), whose sum is σ = 23226192. Its totient is φ = 1779840.

The previous prime is 6680873. The next prime is 6680923. The reversal of 6680880 is 880866.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5965 + ... + 6995.

Almost surely, 26680880 is an apocalyptic number.

6680880 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 6680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613096).

6680880 is an abundant number, since it is smaller than the sum of its proper divisors (16545312).

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

6680880 is a wasteful number, since it uses less digits than its factorization.

6680880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6680880 is about 2584.7398321688. The cubic root of 6680880 is about 188.3408634227.

The spelling of 6680880 in words is "six million, six hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1031 1080 1296 1620 2062 2160 3093 3240 4124 5155 6186 6480 8248 9279 10310 12372 15465 16496 18558 20620 24744 27837 30930 37116 41240 46395 49488 55674 61860 74232 82480 83511 92790 111348 123720 139185 148464 167022 185580 222696 247440 278370 334044 371160 417555 445392 556740 668088 742320 835110 1113480 1336176 1670220 2226960 3340440 6680880