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14663424 = 28361313
BaseRepresentation
bin110111111011…
…111100000000
31000120222102210
4313323330000
512223212144
61242142120
7235431336
oct67737400
930528383
1014663424
118305936
124ab1940
1330653a9
141d39b56
151449ab9
hexdfbf00

14663424 has 72 divisors (see below), whose sum is σ = 39792592. Its totient is φ = 4792320.

The previous prime is 14663413. The next prime is 14663431. The reversal of 14663424 is 42436641.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14663391 and 14663400.

It is a congruent number.

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, 46692 + ... + 47004.

Almost surely, 214663424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896296).

14663424 is an abundant number, since it is smaller than the sum of its proper divisors (25129168).

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

14663424 is an equidigital number, since it uses as much as digits as its factorization.

14663424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 14663424 is about 3829.2850507634. The cubic root of 14663424 is about 244.7626411442.

The spelling of 14663424 in words is "fourteen million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 313 366 384 488 626 732 768 939 976 1252 1464 1878 1952 2504 2928 3756 3904 5008 5856 7512 7808 10016 11712 15024 15616 19093 20032 23424 30048 38186 40064 46848 57279 60096 76372 80128 114558 120192 152744 229116 240384 305488 458232 610976 916464 1221952 1832928 2443904 3665856 4887808 7331712 14663424