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1327840 = 25543193
BaseRepresentation
bin101000100001011100000
32111110110021
411010023200
5314442330
644243224
714200153
oct5041340
92443407
101327840
11827698
12540514
13376507
14267c9a
151b367a
hex1442e0

1327840 has 48 divisors (see below), whose sum is σ = 3226608. Its totient is φ = 516096.

The previous prime is 1327831. The next prime is 1327841. The reversal of 1327840 is 487231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327841) 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, 6784 + ... + 6976.

It is an arithmetic number, because the mean of its divisors is an integer number (67221).

21327840 is an apocalyptic number.

1327840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613304).

1327840 is an abundant number, since it is smaller than the sum of its proper divisors (1898768).

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

1327840 is a wasteful number, since it uses less digits than its factorization.

1327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1327840 is about 1152.3194001665. The cubic root of 1327840 is about 109.9128786755.

The spelling of 1327840 in words is "one million, three hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 193 215 344 386 430 688 772 860 965 1376 1544 1720 1930 3088 3440 3860 6176 6880 7720 8299 15440 16598 30880 33196 41495 66392 82990 132784 165980 265568 331960 663920 1327840