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14412672 = 273212511
BaseRepresentation
bin110110111110…
…101110000000
31000010020110200
4312332232000
512142201142
61232525200
7233335311
oct66765600
930106420
1014412672
1181544aa
1249b0800
132ca8211
141cb2608
1513ea64c
hexdbeb80

14412672 has 48 divisors (see below), whose sum is σ = 41477280. Its totient is φ = 4803840.

The previous prime is 14412667. The next prime is 14412679. The reversal of 14412672 is 27621441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×144126722 = 415450228359168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14412679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5104 + ... + 7407.

It is an arithmetic number, because the mean of its divisors is an integer number (864110).

Almost surely, 214412672 is an apocalyptic number.

14412672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14412672 is an abundant number, since it is smaller than the sum of its proper divisors (27064608).

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

14412672 is a wasteful number, since it uses less digits than its factorization.

14412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12531 (or 12516 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 14412672 is about 3796.4025076380. The cubic root of 14412672 is about 243.3594234030.

It can be divided in two parts, 14 and 412672, that added together give a triangular number (412686 = T908).

The spelling of 14412672 in words is "fourteen million, four hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12511 25022 37533 50044 75066 100088 112599 150132 200176 225198 300264 400352 450396 600528 800704 900792 1201056 1601408 1801584 2402112 3603168 4804224 7206336 14412672