Search a number
39040 = 27561
BaseRepresentation
bin1001100010000000
31222112221
421202000
52222130
6500424
7221551
oct114200
958487
1039040
1127371
121a714
1314a01
1410328
15b87a
hex9880

39040 has 32 divisors (see below), whose sum is σ = 94860. Its totient is φ = 15360.

The previous prime is 39023. The next prime is 39041. The reversal of 39040 is 4093.

39040 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 5184 = 184^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (39041) by changing a digit.

39040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 610 + ... + 670.

239040 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 39040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47430).

39040 is an abundant number, since it is smaller than the sum of its proper divisors (55820).

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

39040 is an equidigital number, since it uses as much as digits as its factorization.

39040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 39040 is about 197.5854245637. The cubic root of 39040 is about 33.9237043540.

The spelling of 39040 in words is "thirty-nine thousand, forty".