[go: up one dir, main page]

Search a number
-
+
14182260 = 22352343239
BaseRepresentation
bin110110000110…
…011101110100
3222200112101220
4312012131310
512112313020
61223550340
7231355461
oct66063564
928615356
1014182260
118007384
1248bb3b0
132c27391
141c52668
1513a2240
hexd86774

14182260 has 96 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 3518592.

The previous prime is 14182249. The next prime is 14182277. The reversal of 14182260 is 6228141.

14182260 = 1812 + 1822 + ... + 3642.

It is a super-2 number, since 2×141822602 = 402272997415200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14182260.

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, 59221 + ... + 59459.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 214182260 is an apocalyptic number.

14182260 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 14182260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

14182260 is an abundant number, since it is smaller than the sum of its proper divisors (28395660).

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

14182260 is a wasteful number, since it uses less digits than its factorization.

14182260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14182260 is about 3765.9341470610. The cubic root of 14182260 is about 242.0556072838.

The spelling of 14182260 in words is "fourteen million, one hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 43 46 60 69 86 92 115 129 138 172 215 230 239 258 276 345 430 460 478 516 645 690 717 860 956 989 1195 1290 1380 1434 1978 2390 2580 2868 2967 3585 3956 4780 4945 5497 5934 7170 9890 10277 10994 11868 14340 14835 16491 19780 20554 21988 27485 29670 30831 32982 41108 51385 54970 59340 61662 65964 82455 102770 109940 123324 154155 164910 205540 236371 308310 329820 472742 616620 709113 945484 1181855 1418226 2363710 2836452 3545565 4727420 7091130 14182260