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32740 = 2251637
BaseRepresentation
bin111111111100100
31122220121
413333210
52021430
6411324
7164311
oct77744
948817
1032740
1122664
1216b44
1311b96
14bd08
159a7a
hex7fe4

32740 has 12 divisors (see below), whose sum is σ = 68796. Its totient is φ = 13088.

The previous prime is 32719. The next prime is 32749. The reversal of 32740 is 4723.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 27556 = 72^2 + 166^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (32749) 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 3 ways as a sum of consecutive naturals, for example, 799 + ... + 838.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

232740 is an apocalyptic number.

It is an amenable number.

32740 is an abundant number, since it is smaller than the sum of its proper divisors (36056).

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 (34398).

32740 is a wasteful number, since it uses less digits than its factorization.

32740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 32740 is about 180.9419796509. The cubic root of 32740 is about 31.9908828193.

The spelling of 32740 in words is "thirty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 1637 3274 6548 8185 16370 32740