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14896 = 247219
BaseRepresentation
bin11101000110000
3202102201
43220300
5434041
6152544
761300
oct35060
922381
1014896
1110212
128754
136a1b
145600
154631
hex3a30

14896 has 30 divisors (see below), whose sum is σ = 35340. Its totient is φ = 6048.

The previous prime is 14891. The next prime is 14897. The reversal of 14896 is 69841.

14896 = 42 + 52 + ... + 352.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (14891) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 775 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (1178).

214896 is an apocalyptic number.

14896 is a gapful number since it is divisible by the number (16) 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 14896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17670).

14896 is an abundant number, since it is smaller than the sum of its proper divisors (20444).

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

14896 is a wasteful number, since it uses less digits than its factorization.

14896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 28 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 14896 is about 122.0491704191. The cubic root of 14896 is about 24.6049916061.

Subtracting 14896 from its reverse (69841), we obtain a palindrome (54945).

It can be divided in two parts, 14 and 896, that multiplied together give a square (12544 = 1122).

The spelling of 14896 in words is "fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 14896