Search a number
-
+
12948 = 2231383
BaseRepresentation
bin11001010010100
3122202120
43022110
5403243
6135540
752515
oct31224
918676
1012948
119801
1275b0
135b80
144a0c
153c83
hex3294

12948 has 24 divisors (see below), whose sum is σ = 32928. Its totient is φ = 3936.

The previous prime is 12941. The next prime is 12953. The reversal of 12948 is 84921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12941) 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, 115 + ... + 197.

It is an arithmetic number, because the mean of its divisors is an integer number (1372).

212948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464).

12948 is an abundant number, since it is smaller than the sum of its proper divisors (19980).

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

12948 is a wasteful number, since it uses less digits than its factorization.

12948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 12948 is about 113.7892789326. The cubic root of 12948 is about 23.4819538534.

The spelling of 12948 in words is "twelve thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 498 996 1079 2158 3237 4316 6474 12948