Search a number
-
+
3940 = 225197
BaseRepresentation
bin111101100100
312101221
4331210
5111230
630124
714326
oct7544
95357
103940
112a62
122344
131a41
141616
15127a
hexf64

3940 has 12 divisors (see below), whose sum is σ = 8316. Its totient is φ = 1568.

The previous prime is 3931. The next prime is 3943. The reversal of 3940 is 493.

3940 = T9 + T10 + ... + T28.

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 1024 = 54^2 + 32^2 .

It is a d-powerful number, because it can be written as 37 + 45 + 93 + 0 .

3940 is an undulating number in base 14.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3943) by changing a digit.

3940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79 + ... + 118.

It is an arithmetic number, because the mean of its divisors is an integer number (693).

23940 is an apocalyptic number.

3940 is the 40-th heptagonal number.

It is an amenable number.

3940 is an abundant number, since it is smaller than the sum of its proper divisors (4376).

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 (4158).

3940 is a wasteful number, since it uses less digits than its factorization.

3940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

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

The square root of 3940 is about 62.7694193059. The cubic root of 3940 is about 15.7942402763.

The spelling of 3940 in words is "three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940