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3960 = 2332511
BaseRepresentation
bin111101111000
312102200
4331320
5111320
630200
714355
oct7570
95380
103960
112a80
122360
131a58
14162c
151290
hexf78

3960 has 48 divisors (see below), whose sum is σ = 14040. Its totient is φ = 960.

The previous prime is 3947. The next prime is 3967. The reversal of 3960 is 693.

It can be divided in two parts, 39 and 60, that added together give a palindrome (99).

3960 = T23 + T24 + ... + T32.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967) by changing a digit.

3960 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 11 ways as a sum of consecutive naturals, for example, 355 + ... + 365.

23960 is an apocalyptic number.

3960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020).

3960 is an abundant number, since it is smaller than the sum of its proper divisors (10080).

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

3960 is a wasteful number, since it uses less digits than its factorization.

3960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3960 is about 62.9285308902. The cubic root of 3960 is about 15.8209197869.

The spelling of 3960 in words is "three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960