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13608 = 23357
BaseRepresentation
bin11010100101000
3200200000
43110220
5413413
6143000
754450
oct32450
920600
1013608
11a251
127a60
13626a
144d60
154073
hex3528

13608 has 48 divisors (see below), whose sum is σ = 43680. Its totient is φ = 3888.

The previous prime is 13597. The next prime is 13613. The reversal of 13608 is 80631.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

13608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1941 + ... + 1947.

It is an arithmetic number, because the mean of its divisors is an integer number (910).

213608 is an apocalyptic number.

13608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840).

13608 is an abundant number, since it is smaller than the sum of its proper divisors (30072).

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

13608 is an equidigital number, since it uses as much as digits as its factorization.

13608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13608 is about 116.6533325713. The cubic root of 13608 is about 23.8743432474.

The spelling of 13608 in words is "thirteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608