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39920 = 245499
BaseRepresentation
bin1001101111110000
32000202112
421233300
52234140
6504452
7224246
oct115760
960675
1039920
1127aa1
121b128
131522a
1410796
15bc65
hex9bf0

39920 has 20 divisors (see below), whose sum is σ = 93000. Its totient is φ = 15936.

The previous prime is 39901. The next prime is 39929. The reversal of 39920 is 2993.

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39929) by changing a digit.

39920 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, 170 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (4650).

239920 is an apocalyptic number.

It is an amenable number.

39920 is an abundant number, since it is smaller than the sum of its proper divisors (53080).

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 (46500).

39920 is a wasteful number, since it uses less digits than its factorization.

39920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 39920 is about 199.7998998999. The cubic root of 39920 is about 34.1767040375.

It can be divided in two parts, 39 and 920, that added together give a palindrome (959).

The spelling of 39920 in words is "thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 499 998 1996 2495 3992 4990 7984 9980 19960 39920