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14041872 = 2432132577
BaseRepresentation
bin110101100100…
…001100010000
3222102101211100
4311210030100
512043314442
61220544400
7230232255
oct65441420
928371740
1014041872
117a20959
124852100
132ba8500
141c1742c
15137584c
hexd64310

14041872 has 90 divisors (see below), whose sum is σ = 42626922. Its totient is φ = 4313088.

The previous prime is 14041871. The next prime is 14041877. The reversal of 14041872 is 27814041.

It can be written as a sum of positive squares in 3 ways, for example, as 1679616 + 12362256 = 1296^2 + 3516^2 .

It is a super-3 number, since 3×140418723 (a number of 22 digits) contains 333 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14041871) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24048 + ... + 24624.

Almost surely, 214041872 is an apocalyptic number.

14041872 is a gapful number since it is divisible by the number (12) 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 14041872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21313461).

14041872 is an abundant number, since it is smaller than the sum of its proper divisors (28585050).

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

14041872 is a wasteful number, since it uses less digits than its factorization.

14041872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 14041872 is about 3747.2485906329. The cubic root of 14041872 is about 241.2542669742.

The spelling of 14041872 in words is "fourteen million, forty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 577 624 676 936 1014 1154 1352 1521 1731 1872 2028 2308 2704 3042 3462 4056 4616 5193 6084 6924 7501 8112 9232 10386 12168 13848 15002 20772 22503 24336 27696 30004 41544 45006 60008 67509 83088 90012 97513 120016 135018 180024 195026 270036 292539 360048 390052 540072 585078 780104 877617 1080144 1170156 1560208 1755234 2340312 3510468 4680624 7020936 14041872