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14880 = 253531
BaseRepresentation
bin11101000100000
3202102010
43220200
5434010
6152520
761245
oct35040
922363
1014880
11101a8
128740
136a08
1455cc
154620
hex3a20

14880 has 48 divisors (see below), whose sum is σ = 48384. Its totient is φ = 3840.

The previous prime is 14879. The next prime is 14887. The reversal of 14880 is 8841.

14880 = 52 + 62 + ... + 352.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a zygodrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14880.

It is not an unprimeable number, because it can be changed into a prime (14887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

214880 is an apocalyptic number.

14880 is a gapful number since it is divisible by the number (10) 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 14880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192).

14880 is an abundant number, since it is smaller than the sum of its proper divisors (33504).

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

14880 is a wasteful number, since it uses less digits than its factorization.

14880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 14880 is about 121.9836054558. The cubic root of 14880 is about 24.5961789293.

The spelling of 14880 in words is "fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880