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6740840 = 2351723431
BaseRepresentation
bin11001101101101101101000
3110200110200202
4121231231220
53211201330
6400251332
7111203411
oct31555550
913613622
106740840
113894547
122310b48
131520282
14c76808
158d2445
hex66db68

6740840 has 64 divisors (see below), whose sum is σ = 16796160. Its totient is φ = 2421760.

The previous prime is 6740831. The next prime is 6740843. The reversal of 6740840 is 480476.

6740840 = T355 + T356 + ... + T439.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740843) 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 15 ways as a sum of consecutive naturals, for example, 15425 + ... + 15855.

It is an arithmetic number, because the mean of its divisors is an integer number (262440).

Almost surely, 26740840 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 6740840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398080).

6740840 is an abundant number, since it is smaller than the sum of its proper divisors (10055320).

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

6740840 is a wasteful number, since it uses less digits than its factorization.

6740840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 6740840 is about 2596.3127700645. The cubic root of 6740840 is about 188.9026308085.

The spelling of 6740840 in words is "six million, seven hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 431 460 680 782 862 920 1564 1724 1955 2155 3128 3448 3910 4310 7327 7820 8620 9913 14654 15640 17240 19826 29308 36635 39652 49565 58616 73270 79304 99130 146540 168521 198260 293080 337042 396520 674084 842605 1348168 1685210 3370420 6740840