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14960 = 2451117
BaseRepresentation
bin11101001110000
3202112002
43221300
5434320
6153132
761421
oct35160
922462
1014960
1110270
1287a8
136a6a
145648
154675
hex3a70

14960 has 40 divisors (see below), whose sum is σ = 40176. Its totient is φ = 5120.

The previous prime is 14957. The next prime is 14969. The reversal of 14960 is 6941.

14960 = T11 + T12 + ... + T44.

14960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

14960 is an undulating number in base 13.

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 14960.

It is not an unprimeable number, because it can be changed into a prime (14969) by changing a digit.

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, 872 + ... + 888.

214960 is an apocalyptic number.

14960 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 14960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088).

14960 is an abundant number, since it is smaller than the sum of its proper divisors (25216).

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

14960 is a wasteful number, since it uses less digits than its factorization.

14960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 14960 is about 122.3110788114. The cubic root of 14960 is about 24.6401793432.

The spelling of 14960 in words is "fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960