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14980 = 2257107
BaseRepresentation
bin11101010000100
3202112211
43222010
5434410
6153204
761450
oct35204
922484
1014980
1110289
128804
136a84
145660
15468a
hex3a84

14980 has 24 divisors (see below), whose sum is σ = 36288. Its totient is φ = 5088.

The previous prime is 14969. The next prime is 14983. The reversal of 14980 is 8941.

14980 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

14980 is strictly pandigital in base 6.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (14983) by changing a digit.

14980 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 7 ways as a sum of consecutive naturals, for example, 87 + ... + 193.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

214980 is an apocalyptic number.

14980 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 14980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

14980 is an abundant number, since it is smaller than the sum of its proper divisors (21308).

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

14980 is a wasteful number, since it uses less digits than its factorization.

14980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 14980 is about 122.3928102464. The cubic root of 14980 is about 24.6511549256.

The spelling of 14980 in words is "fourteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 14980