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6680828 = 22711109199
BaseRepresentation
bin11001011111000011111100
3110120102101002
4121133003330
53202241303
6355105432
7110533430
oct31370374
913512332
106680828
113853450
1222a2278
1314cbb6b
14c5c9c0
158be788
hex65f0fc

6680828 has 48 divisors (see below), whose sum is σ = 14784000. Its totient is φ = 2566080.

The previous prime is 6680797. The next prime is 6680851. The reversal of 6680828 is 8280866.

It is a junction number, because it is equal to n+sod(n) for n = 6680791 and 6680800.

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, 33473 + ... + 33671.

It is an arithmetic number, because the mean of its divisors is an integer number (308000).

Almost surely, 26680828 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 6680828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392000).

6680828 is an abundant number, since it is smaller than the sum of its proper divisors (8103172).

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

6680828 is a wasteful number, since it uses less digits than its factorization.

6680828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 6680828 is about 2584.7297731098. The cubic root of 6680828 is about 188.3403747770.

Adding to 6680828 its sum of digits (38), we get a palindrome (6680866).

The spelling of 6680828 in words is "six million, six hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 109 154 199 218 308 398 436 763 796 1199 1393 1526 2189 2398 2786 3052 4378 4796 5572 8393 8756 15323 16786 21691 30646 33572 43382 61292 86764 151837 238601 303674 477202 607348 954404 1670207 3340414 6680828