3120 has 40 divisors (see below), whose sum is σ = 10416. Its totient is φ = 768.

The previous prime is 3119. The next prime is 3121. The reversal of 3120 is 213.

Adding to 3120 its reverse (213), we get a palindrome (3333).

It is an interprime number because it is at equal distance from previous prime (3119) and next prime (3121).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

3120 is an undulating number in base 8.

It is a plaindrome in base 14.

It is a nialpdrome in base 5, base 15 and base 16.

It is a zygodrome in base 2 and base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3099 and 3108.

It is not an unprimeable number, because it can be changed into a prime (3121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234 + ... + 246.

2^{3120} is an apocalyptic number.

3120 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 3120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208).

3120 is an abundant number, since it is smaller than the sum of its proper divisors (7296).

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

3120 is a wasteful number, since it uses less digits than its factorization.

3120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 3120 is about 55.8569601751. The cubic root of 3120 is about 14.6122871481.

The spelling of 3120 in words is "three thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120

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