Search a number
-
+
13545 = 325743
BaseRepresentation
bin11010011101001
3200120200
43103221
5413140
6142413
754330
oct32351
920520
1013545
11a1a4
127a09
13621c
144d17
154030
hex34e9

13545 has 24 divisors (see below), whose sum is σ = 27456. Its totient is φ = 6048.

The previous prime is 13537. The next prime is 13553. The reversal of 13545 is 54531.

13545 = 82 + 92 + ... + 342.

It is an interprime number because it is at equal distance from previous prime (13537) and next prime (13553).

It is not a de Polignac number, because 13545 - 23 = 13537 is a prime.

It is a Curzon number.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (1144).

13545 is a Friedman number, since it can be written as 4515*3, using all its digits and the basic arithmetic operations.

213545 is an apocalyptic number.

13545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13545 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (13728).

13545 is a wasteful number, since it uses less digits than its factorization.

13545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 58 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 13545 is about 116.3829884476. The cubic root of 13545 is about 23.8374431217.

The spelling of 13545 in words is "thirteen thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1935 2709 4515 13545