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14054460 = 22357109307
BaseRepresentation
bin110101100111…
…010000111100
3222110001002120
4311213100330
512044220320
61221122540
7230314050
oct65472074
928401076
1014054460
117a2a362
124859450
132bb1164
141c1bc60
151379440
hexd6743c

14054460 has 96 divisors (see below), whose sum is σ = 45534720. Its totient is φ = 3172608.

The previous prime is 14054459. The next prime is 14054489. The reversal of 14054460 is 6445041.

It is a self number, because there is not a number n which added to its sum of digits gives 14054460.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 45627 + ... + 45933.

It is an arithmetic number, because the mean of its divisors is an integer number (474320).

Almost surely, 214054460 is an apocalyptic number.

14054460 is a gapful number since it is divisible by the number (10) 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 14054460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22767360).

14054460 is an abundant number, since it is smaller than the sum of its proper divisors (31480260).

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

14054460 is a wasteful number, since it uses less digits than its factorization.

14054460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 14054460 is about 3748.9278467316. The cubic root of 14054460 is about 241.3263371767.

The spelling of 14054460 in words is "fourteen million, fifty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 307 327 420 436 545 614 654 763 921 1090 1228 1308 1526 1535 1635 1842 2149 2180 2289 3052 3070 3270 3684 3815 4298 4578 4605 6140 6447 6540 7630 8596 9156 9210 10745 11445 12894 15260 18420 21490 22890 25788 32235 33463 42980 45780 64470 66926 100389 128940 133852 167315 200778 234241 334630 401556 468482 501945 669260 702723 936964 1003890 1171205 1405446 2007780 2342410 2810892 3513615 4684820 7027230 14054460