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6806540 = 2251347557
BaseRepresentation
bin11001111101110000001100
3110210210211002
4121331300030
53220302130
6401515432
7111566066
oct31756014
913723732
106806540
113929944
122342b78
131544150
14c92736
158e6b45
hex67dc0c

6806540 has 48 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 2455296.

The previous prime is 6806539. The next prime is 6806543. The reversal of 6806540 is 456086.

It is not an unprimeable number, because it can be changed into a prime (6806543) 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, 11942 + ... + 12498.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 26806540 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 6806540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

6806540 is an abundant number, since it is smaller than the sum of its proper divisors (8942452).

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

6806540 is a wasteful number, since it uses less digits than its factorization.

6806540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 6806540 is about 2608.9346484724. The cubic root of 6806540 is about 189.5143645866.

The spelling of 6806540 in words is "six million, eight hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 557 611 940 1114 1222 2228 2444 2785 3055 5570 6110 7241 11140 12220 14482 26179 28964 36205 52358 72410 104716 130895 144820 261790 340327 523580 680654 1361308 1701635 3403270 6806540