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14113476 = 22321353569
BaseRepresentation
bin110101110101…
…101011000100
3222120001001100
4311311223010
512103112401
61222300100
7230651106
oct65655304
928501040
1014113476
117a6a733
124887630
132c01c90
141c35576
15138bb86
hexd75ac4

14113476 has 72 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 4253184.

The previous prime is 14113469. The next prime is 14113487. The reversal of 14113476 is 67431141.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 13883076 = 480^2 + 3726^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24520 + ... + 25088.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 214113476 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 14113476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

14113476 is an abundant number, since it is smaller than the sum of its proper divisors (25100244).

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

14113476 is a wasteful number, since it uses less digits than its factorization.

14113476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 640 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 14113476 is about 3756.7906516068. The cubic root of 14113476 is about 241.6636494801.

The spelling of 14113476 in words is "fourteen million, one hundred thirteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 569 636 689 954 1138 1378 1707 1908 2067 2276 2756 3414 4134 5121 6201 6828 7397 8268 10242 12402 14794 20484 22191 24804 29588 30157 44382 60314 66573 88764 90471 120628 133146 180942 266292 271413 361884 392041 542826 784082 1085652 1176123 1568164 2352246 3528369 4704492 7056738 14113476