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6681042 = 23559233
BaseRepresentation
bin11001011111000111010010
3110120102200000
4121133013102
53202243132
6355110430
7110534154
oct31370722
913512600
106681042
113853625
1222a2416
1314cbca4
14c5cad4
158be87c
hex65f1d2

6681042 has 48 divisors (see below), whose sum is σ = 15331680. Its totient is φ = 2179872.

The previous prime is 6681041. The next prime is 6681067. The reversal of 6681042 is 2401866.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 6680997 and 6681015.

It is not an unprimeable number, because it can be changed into a prime (6681041) 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 23 ways as a sum of consecutive naturals, for example, 28558 + ... + 28790.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 26681042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6681042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840).

6681042 is an abundant number, since it is smaller than the sum of its proper divisors (8650638).

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

6681042 is a wasteful number, since it uses less digits than its factorization.

6681042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

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

The square root of 6681042 is about 2584.7711697557. The cubic root of 6681042 is about 188.3423857258.

The spelling of 6681042 in words is "six million, six hundred eighty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 233 243 354 466 486 531 699 1062 1398 1593 2097 3186 4194 4779 6291 9558 12582 13747 14337 18873 27494 28674 37746 41241 56619 82482 113238 123723 247446 371169 742338 1113507 2227014 3340521 6681042