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42740 = 2252137
BaseRepresentation
bin1010011011110100
32011121222
422123310
52331430
6525512
7235415
oct123364
964558
1042740
112a125
1220898
13165b9
141180c
15c9e5
hexa6f4

42740 has 12 divisors (see below), whose sum is σ = 89796. Its totient is φ = 17088.

The previous prime is 42737. The next prime is 42743. The reversal of 42740 is 4724.

It is an interprime number because it is at equal distance from previous prime (42737) and next prime (42743).

It can be written as a sum of positive squares in 2 ways, for example, as 7396 + 35344 = 86^2 + 188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42743) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1049 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (7483).

242740 is an apocalyptic number.

It is an amenable number.

42740 is an abundant number, since it is smaller than the sum of its proper divisors (47056).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44898).

42740 is a wasteful number, since it uses less digits than its factorization.

42740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 42740 is about 206.7365473253. The cubic root of 42740 is about 34.9632266832.

It can be divided in two parts, 4 and 2740, that added together give a cube (2744 = 143).

The spelling of 42740 in words is "forty-two thousand, seven hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 2137 4274 8548 10685 21370 42740