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39940 = 2251997
BaseRepresentation
bin1001110000000100
32000210021
421300010
52234230
6504524
7224305
oct116004
960707
1039940
112800a
121b144
1315244
14107ac
15bc7a
hex9c04

39940 has 12 divisors (see below), whose sum is σ = 83916. Its totient is φ = 15968.

The previous prime is 39937. The next prime is 39953. The reversal of 39940 is 4993.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 33856 = 78^2 + 184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 979 + ... + 1018.

It is an arithmetic number, because the mean of its divisors is an integer number (6993).

239940 is an apocalyptic number.

It is an amenable number.

39940 is an abundant number, since it is smaller than the sum of its proper divisors (43976).

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 (41958).

39940 is a wasteful number, since it uses less digits than its factorization.

39940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 39940 is about 199.8499437078. The cubic root of 39940 is about 34.1824106171.

It can be divided in two parts, 39 and 940, that added together give a palindrome (979).

The spelling of 39940 in words is "thirty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 1997 3994 7988 9985 19970 39940