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6768606 = 2313107811
BaseRepresentation
bin11001110100011111011110
3110201212210010
4121310133132
53213043411
6401024050
7111350355
oct31643736
913655703
106768606
113903399
122325026
13152cac0
14c8299c
158da7a6
hex6747de

6768606 has 32 divisors (see below), whose sum is σ = 14732928. Its totient is φ = 2060640.

The previous prime is 6768599. The next prime is 6768607. The reversal of 6768606 is 6068676.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7941 + ... + 8751.

It is an arithmetic number, because the mean of its divisors is an integer number (460404).

Almost surely, 26768606 is an apocalyptic number.

6768606 is the 1391-st nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6768606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366464).

6768606 is an abundant number, since it is smaller than the sum of its proper divisors (7964322).

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

6768606 is a wasteful number, since it uses less digits than its factorization.

6768606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6768606 is about 2601.6544735994. The cubic root of 6768606 is about 189.1616432993.

It can be divided in two parts, 676860 and 6, that added together give a triangular number (676866 = T1163).

The spelling of 6768606 in words is "six million, seven hundred sixty-eight thousand, six hundred six".

Divisors: 1 2 3 6 13 26 39 78 107 214 321 642 811 1391 1622 2433 2782 4173 4866 8346 10543 21086 31629 63258 86777 173554 260331 520662 1128101 2256202 3384303 6768606