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6768936 = 2332412293
BaseRepresentation
bin11001110100100100101000
3110201220020100
4121310210220
53213101221
6401025400
7111351336
oct31644450
913656210
106768936
113903669
122325260
13152ccb5
14c82b56
158da926
hex674928

6768936 has 48 divisors (see below), whose sum is σ = 18787860. Its totient is φ = 2200320.

The previous prime is 6768917. The next prime is 6768947. The reversal of 6768936 is 6398676.

It can be written as a sum of positive squares in 2 ways, for example, as 5788836 + 980100 = 2406^2 + 990^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6768891 and 6768900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1806 + ... + 4098.

Almost surely, 26768936 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 6768936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9393930).

6768936 is an abundant number, since it is smaller than the sum of its proper divisors (12018924).

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

6768936 is a wasteful number, since it uses less digits than its factorization.

6768936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2339 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 6768936 is about 2601.7178940077. The cubic root of 6768936 is about 189.1647174098.

The spelling of 6768936 in words is "six million, seven hundred sixty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2293 2952 4586 6879 9172 13758 18344 20637 27516 41274 55032 82548 94013 165096 188026 282039 376052 564078 752104 846117 1128156 1692234 2256312 3384468 6768936