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6832240 = 245412083
BaseRepresentation
bin11010000100000001110000
3110212010001221
4122010001300
53222112430
6402234424
7112034032
oct32040160
913763057
106832240
113947188
122355a14
131552a5c
14c9bc52
158ee57a
hex684070

6832240 has 40 divisors (see below), whose sum is σ = 16280208. Its totient is φ = 2664960.

The previous prime is 6832237. The next prime is 6832247. The reversal of 6832240 is 422386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6832247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2239 + ... + 4321.

Almost surely, 26832240 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 6832240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140104).

6832240 is an abundant number, since it is smaller than the sum of its proper divisors (9447968).

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

6832240 is a wasteful number, since it uses less digits than its factorization.

6832240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 6832240 is about 2613.8553900321. The cubic root of 6832240 is about 189.7525865512.

The spelling of 6832240 in words is "six million, eight hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 2083 3280 4166 8332 10415 16664 20830 33328 41660 83320 85403 166640 170806 341612 427015 683224 854030 1366448 1708060 3416120 6832240