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6680016 = 24337472
BaseRepresentation
bin11001011110110111010000
3110120101021000
4121132313100
53202230031
6355102000
7110531160
oct31366720
913511230
106680016
113852882
1222a1900
1314cb695
14c5c5a0
158be3e6
hex65edd0

6680016 has 120 divisors (see below), whose sum is σ = 22389440. Its totient is φ = 1867968.

The previous prime is 6679999. The next prime is 6680021. The reversal of 6680016 is 6100866.

It is a super-2 number, since 2×66800162 = 89245227520512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 142105 + ... + 142151.

Almost surely, 26680016 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 6680016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11194720).

6680016 is an abundant number, since it is smaller than the sum of its proper divisors (15709424).

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

6680016 is a wasteful number, since it uses less digits than its factorization.

6680016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6680016 is about 2584.5726919551. The cubic root of 6680016 is about 188.3327440571.

The spelling of 6680016 in words is "six million, six hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 47 48 54 56 63 72 84 94 108 112 126 141 144 168 188 189 216 252 282 329 336 376 378 423 432 504 564 658 752 756 846 987 1008 1128 1269 1316 1512 1692 1974 2209 2256 2538 2632 2961 3024 3384 3948 4418 5076 5264 5922 6627 6768 7896 8836 8883 10152 11844 13254 15463 15792 17672 17766 19881 20304 23688 26508 30926 35344 35532 39762 46389 47376 53016 59643 61852 71064 79524 92778 106032 119286 123704 139167 142128 159048 185556 238572 247408 278334 318096 371112 417501 477144 556668 742224 835002 954288 1113336 1670004 2226672 3340008 6680016