Search a number
-
+
17148 = 2231429
BaseRepresentation
bin100001011111100
3212112010
410023330
51022043
6211220
7100665
oct41374
925463
1017148
111197a
129b10
137a61
14636c
155133
hex42fc

17148 has 12 divisors (see below), whose sum is σ = 40040. Its totient is φ = 5712.

The previous prime is 17137. The next prime is 17159. The reversal of 17148 is 84171.

It is an interprime number because it is at equal distance from previous prime (17137) and next prime (17159).

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 17148.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 703 + ... + 726.

217148 is an apocalyptic number.

It is an amenable number.

17148 is an abundant number, since it is smaller than the sum of its proper divisors (22892).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20020).

17148 is a wasteful number, since it uses less digits than its factorization.

17148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1434 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 17148 is about 130.9503722790. The cubic root of 17148 is about 25.7872179940.

The spelling of 17148 in words is "seventeen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 1429 2858 4287 5716 8574 17148