Search a number
-
+
6797680 = 245312741
BaseRepresentation
bin11001111011100101110000
3110210100122221
4121323211300
53220011210
6401410424
7111531211
oct31734560
913710587
106797680
11392321a
122339a14
1315400c6
14c8d408
158e41da
hex67b970

6797680 has 40 divisors (see below), whose sum is σ = 16320384. Its totient is φ = 2630400.

The previous prime is 6797669. The next prime is 6797683. The reversal of 6797680 is 867976.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6797683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1110 + ... + 3850.

Almost surely, 26797680 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 6797680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160192).

6797680 is an abundant number, since it is smaller than the sum of its proper divisors (9522704).

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

6797680 is a wasteful number, since it uses less digits than its factorization.

6797680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 6797680 is about 2607.2360844388. The cubic root of 6797680 is about 189.4320992775.

The spelling of 6797680 in words is "six million, seven hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 2741 5482 10964 13705 21928 27410 43856 54820 84971 109640 169942 219280 339884 424855 679768 849710 1359536 1699420 3398840 6797680