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8148 = 223797
BaseRepresentation
bin1111111010100
3102011210
41333110
5230043
6101420
732520
oct17724
912153
108148
116138
124870
13392a
142d80
152633
hex1fd4

8148 has 24 divisors (see below), whose sum is σ = 21952. Its totient is φ = 2304.

The previous prime is 8147. The next prime is 8161. The reversal of 8148 is 8418.

It is a Harshad number since it is a multiple of its sum of digits (21).

8148 is a modest number, since divided by 148 gives 8 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8148.

It is not an unprimeable number, because it can be changed into a prime (8147) 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, 36 + ... + 132.

28148 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 8148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10976).

8148 is an abundant number, since it is smaller than the sum of its proper divisors (13804).

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

8148 is a wasteful number, since it uses less digits than its factorization.

8148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 8148 is about 90.2662727712. The cubic root of 8148 is about 20.1225804995.

The spelling of 8148 in words is "eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 2037 2716 4074 8148