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14940 = 2232583
BaseRepresentation
bin11101001011100
3202111100
43221130
5434230
6153100
761362
oct35134
922440
1014940
1110252
128790
136a53
145632
154660
hex3a5c

14940 has 36 divisors (see below), whose sum is σ = 45864. Its totient is φ = 3936.

The previous prime is 14939. The next prime is 14947. The reversal of 14940 is 4941.

Added to its reverse (4941) it gives a square (19881 = 1412).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14940.

It is not an unprimeable number, because it can be changed into a prime (14947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (1274).

214940 is an apocalyptic number.

14940 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 14940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932).

14940 is an abundant number, since it is smaller than the sum of its proper divisors (30924).

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

14940 is a wasteful number, since it uses less digits than its factorization.

14940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 93 counting only the distinct ones).

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

The square root of 14940 is about 122.2292927248. The cubic root of 14940 is about 24.6291939742.

Adding to 14940 its reverse (4941), we get a square (19881 = 1412).

Subtracting from 14940 its reverse (4941), we obtain a palindrome (9999).

The spelling of 14940 in words is "fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940