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13776 = 243741
BaseRepresentation
bin11010111010000
3200220020
43113100
5420101
6143440
755110
oct32720
920806
1013776
11a394
127b80
136369
145040
154136
hex35d0

13776 has 40 divisors (see below), whose sum is σ = 41664. Its totient is φ = 3840.

The previous prime is 13763. The next prime is 13781. The reversal of 13776 is 67731.

13776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

13776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 356.

213776 is an apocalyptic number.

13776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13776 is the 96-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832).

13776 is an abundant number, since it is smaller than the sum of its proper divisors (27888).

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

13776 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (13775) it forms an eRAP, since the sums of their prime factors are consecutive (58 and 59).

With its predecessor (13775) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (53).

13776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 53 counting only the distinct ones).

The product of its digits is 882, while the sum is 24.

The square root of 13776 is about 117.3712060090. The cubic root of 13776 is about 23.9721900099.

The spelling of 13776 in words is "thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776