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14327460 = 22325783137
BaseRepresentation
bin110110101001…
…111010100100
3222221220120200
4312221322210
512131434320
61231030500
7232532010
oct66517244
928856520
1014327460
1180a6484
12496b430
132c784b4
141c8d540
1513d0290
hexda9ea4

14327460 has 144 divisors (see below), whose sum is σ = 50633856. Its totient is φ = 3211776.

The previous prime is 14327429. The next prime is 14327461. The reversal of 14327460 is 6472341.

It is a super-2 number, since 2×143274602 = 410552220103200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14327461) 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 47 ways as a sum of consecutive naturals, for example, 104512 + ... + 104648.

It is an arithmetic number, because the mean of its divisors is an integer number (351624).

Almost surely, 214327460 is an apocalyptic number.

14327460 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 14327460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25316928).

14327460 is an abundant number, since it is smaller than the sum of its proper divisors (36306396).

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

14327460 is a wasteful number, since it uses less digits than its factorization.

14327460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 14327460 is about 3785.1631404736. The cubic root of 14327460 is about 242.8788706874.

The spelling of 14327460 in words is "fourteen million, three hundred twenty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 83 84 90 105 126 137 140 166 180 210 249 252 274 315 332 411 415 420 498 548 581 630 685 747 822 830 959 996 1162 1233 1245 1260 1370 1494 1644 1660 1743 1918 2055 2324 2466 2490 2740 2877 2905 2988 3486 3735 3836 4110 4795 4932 4980 5229 5754 5810 6165 6972 7470 8220 8631 8715 9590 10458 11371 11508 11620 12330 14385 14940 17262 17430 19180 20916 22742 24660 26145 28770 34113 34524 34860 43155 45484 52290 56855 57540 68226 79597 86310 102339 104580 113710 136452 159194 170565 172620 204678 227420 238791 318388 341130 397985 409356 477582 511695 682260 716373 795970 955164 1023390 1193955 1432746 1591940 2046780 2387910 2865492 3581865 4775820 7163730 14327460