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14129472 = 263710513
BaseRepresentation
bin110101111001…
…100101000000
3222120211222210
4311321211000
512104120342
61222502120
7231045540
oct65714500
928524883
1014129472
117a80755
124894940
132c09346
141c3b320
15139179c
hexd79940

14129472 has 56 divisors (see below), whose sum is σ = 42728896. Its totient is φ = 4036608.

The previous prime is 14129447. The next prime is 14129477. The reversal of 14129472 is 27492141.

It is a tau number, because it is divible by the number of its divisors (56).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14129477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3913 + ... + 6600.

It is an arithmetic number, because the mean of its divisors is an integer number (763016).

Almost surely, 214129472 is an apocalyptic number.

14129472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14129472 is an abundant number, since it is smaller than the sum of its proper divisors (28599424).

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

14129472 is a wasteful number, since it uses less digits than its factorization.

14129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535 (or 10525 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 14129472 is about 3758.9189935406. The cubic root of 14129472 is about 241.7549143164.

The spelling of 14129472 in words is "fourteen million, one hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 10513 21026 31539 42052 63078 73591 84104 126156 147182 168208 220773 252312 294364 336416 441546 504624 588728 672832 883092 1009248 1177456 1766184 2018496 2354912 3532368 4709824 7064736 14129472