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6680376 = 2332314173
BaseRepresentation
bin11001011110111100111000
3110120101202100
4121132330320
53202233001
6355103400
7110532213
oct31367470
913511670
106680376
11385307a
1222a1b60
1314cb8b1
14c5c77a
158be586
hex65ef38

6680376 has 96 divisors (see below), whose sum is σ = 19393920. Its totient is φ = 2073600.

The previous prime is 6680357. The next prime is 6680389. The reversal of 6680376 is 6730866.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6680376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91476 + ... + 91548.

It is an arithmetic number, because the mean of its divisors is an integer number (202020).

Almost surely, 26680376 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 6680376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696960).

6680376 is an abundant number, since it is smaller than the sum of its proper divisors (12713544).

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

6680376 is a wasteful number, since it uses less digits than its factorization.

6680376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6680376 is about 2584.6423350243. The cubic root of 6680376 is about 188.3361272112.

It can be divided in two parts, 6680 and 376, that added together give a square (7056 = 842).

The spelling of 6680376 in words is "six million, six hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 41 62 72 73 82 93 123 124 146 164 186 219 246 248 279 292 328 369 372 438 492 558 584 657 738 744 876 984 1116 1271 1314 1476 1752 2232 2263 2542 2628 2952 2993 3813 4526 5084 5256 5986 6789 7626 8979 9052 10168 11439 11972 13578 15252 17958 18104 20367 22878 23944 26937 27156 30504 35916 40734 45756 53874 54312 71832 81468 91512 92783 107748 162936 185566 215496 278349 371132 556698 742264 835047 1113396 1670094 2226792 3340188 6680376