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6940840 = 235732377
BaseRepresentation
bin11010011110100010101000
3111001122001011
4122132202220
53234101330
6404433304
7112665454
oct32364250
914048034
106940840
113a10835
1223a8834
13159030a
14cc9664
1592182a
hex69e8a8

6940840 has 32 divisors (see below), whose sum is σ = 15837480. Its totient is φ = 2737152.

The previous prime is 6940823. The next prime is 6940841. The reversal of 6940840 is 480496.

It can be written as a sum of positive squares in 4 ways, for example, as 5447556 + 1493284 = 2334^2 + 1222^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6940841) 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 7 ways as a sum of consecutive naturals, for example, 1732 + ... + 4108.

Almost surely, 26940840 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 6940840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918740).

6940840 is an abundant number, since it is smaller than the sum of its proper divisors (8896640).

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

6940840 is a wasteful number, since it uses less digits than its factorization.

6940840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 6940840 is about 2634.5473994597. The cubic root of 6940840 is about 190.7526929085.

The spelling of 6940840 in words is "six million, nine hundred forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2377 2920 4754 9508 11885 19016 23770 47540 95080 173521 347042 694084 867605 1388168 1735210 3470420 6940840