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14550144 = 27375413
BaseRepresentation
bin110111100000…
…010010000000
31000101020001020
4313200102000
512211101034
61235505440
7234450150
oct67402200
930336036
1014550144
118238814
124a58280
13302596b
141d0a760
151426249
hexde0480

14550144 has 64 divisors (see below), whose sum is σ = 44178240. Its totient is φ = 4156416.

The previous prime is 14550127. The next prime is 14550157. The reversal of 14550144 is 44105541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 5394.

It is an arithmetic number, because the mean of its divisors is an integer number (690285).

Almost surely, 214550144 is an apocalyptic number.

14550144 is a gapful number since it is divisible by the number (14) 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 14550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22089120).

14550144 is an abundant number, since it is smaller than the sum of its proper divisors (29628096).

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

14550144 is an equidigital number, since it uses as much as digits as its factorization.

14550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5437 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 14550144 is about 3814.4651001156. The cubic root of 14550144 is about 244.1307191711.

Adding to 14550144 its reverse (44105541), we get a palindrome (58655685).

The spelling of 14550144 in words is "fourteen million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5413 10826 16239 21652 32478 37891 43304 64956 75782 86608 113673 129912 151564 173216 227346 259824 303128 346432 454692 519648 606256 692864 909384 1039296 1212512 1818768 2078592 2425024 3637536 4850048 7275072 14550144