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6781968 = 24345233
BaseRepresentation
bin11001110111110000010000
3110202120010000
4121313300100
53214010333
6401210000
7111434334
oct31676020
913676100
106781968
113912436
122330900
131535bcb
14c877c4
158de713
hex677c10

6781968 has 50 divisors (see below), whose sum is σ = 19632734. Its totient is φ = 2260224.

The previous prime is 6781967. The next prime is 6782021. The reversal of 6781968 is 8691876.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 63504 = 2592^2 + 252^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6781961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1321 + ... + 3912.

Almost surely, 26781968 is an apocalyptic number.

It is an amenable number.

6781968 is an abundant number, since it is smaller than the sum of its proper divisors (12850766).

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

6781968 is a wasteful number, since it uses less digits than its factorization.

6781968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5238 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 6781968 is about 2604.2211887626. The cubic root of 6781968 is about 189.2860370301.

The spelling of 6781968 in words is "six million, seven hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 5233 10466 15699 20932 31398 41864 47097 62796 83728 94194 125592 141291 188388 251184 282582 376776 423873 565164 753552 847746 1130328 1695492 2260656 3390984 6781968