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6682104 = 23321121359
BaseRepresentation
bin11001011111010111111000
3110120111010100
4121133113320
53202311404
6355115400
7110540232
oct31372770
913514110
106682104
113854400
1222a2b60
1314cc610
14c5d252
158bed39
hex65f5f8

6682104 has 144 divisors (see below), whose sum is σ = 21785400. Its totient is φ = 1837440.

The previous prime is 6682103. The next prime is 6682133. The reversal of 6682104 is 4012866.

6682104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6682103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113227 + ... + 113285.

Almost surely, 26682104 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 6682104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892700).

6682104 is an abundant number, since it is smaller than the sum of its proper divisors (15103296).

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

6682104 is a wasteful number, since it uses less digits than its factorization.

6682104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6682104 is about 2584.9765956387. The cubic root of 6682104 is about 188.3523646591.

It can be divided in two parts, 6682 and 104, that added together give a triangular number (6786 = T116).

The spelling of 6682104 in words is "six million, six hundred eighty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 59 66 72 78 88 99 104 117 118 121 132 143 156 177 198 234 236 242 264 286 312 354 363 396 429 468 472 484 531 572 649 708 726 767 792 858 936 968 1062 1089 1144 1287 1298 1416 1452 1534 1573 1716 1947 2124 2178 2301 2574 2596 2904 3068 3146 3432 3894 4248 4356 4602 4719 5148 5192 5841 6136 6292 6903 7139 7788 8437 8712 9204 9438 10296 11682 12584 13806 14157 14278 15576 16874 18408 18876 21417 23364 25311 27612 28314 28556 33748 37752 42834 46728 50622 55224 56628 57112 64251 67496 75933 85668 92807 101244 113256 128502 151866 171336 185614 202488 257004 278421 303732 371228 514008 556842 607464 742456 835263 1113684 1670526 2227368 3341052 6682104