Search a number
-
+
3129 = 37149
BaseRepresentation
bin110000111001
311021220
4300321
5100004
622253
712060
oct6071
94256
103129
112395
121989
131569
1411d7
15dd9
hexc39

3129 has 8 divisors (see below), whose sum is σ = 4800. Its totient is φ = 1776.

The previous prime is 3121. The next prime is 3137. The reversal of 3129 is 9213.

3129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3121) and next prime (3137).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3129 - 23 = 3121 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

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, 54 + ... + 95.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

23129 is an apocalyptic number.

It is an amenable number.

3129 is a deficient number, since it is larger than the sum of its proper divisors (1671).

3129 is a wasteful number, since it uses less digits than its factorization.

3129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159.

The product of its digits is 54, while the sum is 15.

The square root of 3129 is about 55.9374650838. The cubic root of 3129 is about 14.6263239360.

Subtracting 3129 from its reverse (9213), we obtain a square (6084 = 782).

The spelling of 3129 in words is "three thousand, one hundred twenty-nine".

Divisors: 1 3 7 21 149 447 1043 3129