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1740 = 223529
BaseRepresentation
bin11011001100
32101110
4123030
523430
612020
75034
oct3314
92343
101740
111342
121010
13a3b
148c4
157b0
hex6cc

1740 has 24 divisors (see below), whose sum is σ = 5040. Its totient is φ = 448.

The previous prime is 1733. The next prime is 1741. The reversal of 1740 is 471.

Subtracting from 1740 its sum of digits (12), we obtain a cube (1728 = 123).

Adding to 1740 its reverse (471), we get a triangular number (2211 = T66).

It can be divided in two parts, 1 and 740, that added together give a triangular number (741 = T38).

1740 = T15 + T16 + ... + T23.

1740 is an esthetic number in base 9 and base 12, because in such bases its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

1740 is an undulating number in base 12.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 74.

It is an arithmetic number, because the mean of its divisors is an integer number (210).

1740 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 1740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520).

1740 is an abundant number, since it is smaller than the sum of its proper divisors (3300).

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

1740 is a wasteful number, since it uses less digits than its factorization.

1740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1740 is about 41.7133072292. The cubic root of 1740 is about 12.0277137243.

The spelling of 1740 in words is "one thousand, seven hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740