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6716080 = 245767179
BaseRepresentation
bin11001100111101010110000
3110122012201201
4121213222300
53204403310
6355540544
7111041260
oct31475260
913565651
106716080
113877988
1222ba754
131511c17
14c6b7a0
158c9e3a
hex667ab0

6716080 has 80 divisors (see below), whose sum is σ = 18213120. Its totient is φ = 2255616.

The previous prime is 6716077. The next prime is 6716093. The reversal of 6716080 is 806176.

6716080 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

6716080 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37431 + ... + 37609.

It is an arithmetic number, because the mean of its divisors is an integer number (227664).

Almost surely, 26716080 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 6716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560).

6716080 is an abundant number, since it is smaller than the sum of its proper divisors (11497040).

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

6716080 is a wasteful number, since it uses less digits than its factorization.

6716080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 6716080 is about 2591.5400826536. The cubic root of 6716080 is about 188.6710589002.

The spelling of 6716080 in words is "six million, seven hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 179 268 280 335 358 469 536 560 670 716 895 938 1072 1253 1340 1432 1790 1876 2345 2506 2680 2864 3580 3752 4690 5012 5360 6265 7160 7504 9380 10024 11993 12530 14320 18760 20048 23986 25060 37520 47972 50120 59965 83951 95944 100240 119930 167902 191888 239860 335804 419755 479720 671608 839510 959440 1343216 1679020 3358040 6716080