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13872 = 243172
BaseRepresentation
bin11011000110000
3201000210
43120300
5420442
6144120
755305
oct33060
921023
1013872
11a471
128040
136411
1450ac
15419c
hex3630

13872 has 30 divisors (see below), whose sum is σ = 38068. Its totient is φ = 4352.

The previous prime is 13859. The next prime is 13873. The reversal of 13872 is 27831.

It can be divided in two parts, 138 and 72, that added together give a triangular number (210 = T20).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (13873) by changing a digit.

13872 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 5 ways as a sum of consecutive naturals, for example, 808 + ... + 824.

213872 is an apocalyptic number.

13872 is a gapful number since it is divisible by the number (12) 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 13872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034).

13872 is an abundant number, since it is smaller than the sum of its proper divisors (24196).

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

13872 is a wasteful number, since it uses less digits than its factorization.

13872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 22 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 13872 is about 117.7794549147. The cubic root of 13872 is about 24.0277456894.

The spelling of 13872 in words is "thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 1156 1734 2312 3468 4624 6936 13872