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14412420 = 223251129251
BaseRepresentation
bin110110111110…
…101010000100
31000010020010100
4312332222010
512142144140
61232524100
7233334501
oct66765204
930106110
1014412420
1181542a0
1249b0630
132ca8079
141cb24a8
1513ea530
hexdbea84

14412420 has 144 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 3360000.

The previous prime is 14412407. The next prime is 14412473. The reversal of 14412420 is 2421441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14412393 and 14412402.

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 47 ways as a sum of consecutive naturals, for example, 57295 + ... + 57545.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 214412420 is an apocalyptic number.

14412420 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 14412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

14412420 is an abundant number, since it is smaller than the sum of its proper divisors (35120700).

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

14412420 is a wasteful number, since it uses less digits than its factorization.

14412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14412420 is about 3796.3693181776. The cubic root of 14412420 is about 243.3580050462.

Adding to 14412420 its reverse (2421441), we get a palindrome (16833861).

The spelling of 14412420 in words is "fourteen million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 251 261 290 319 330 348 396 435 495 502 522 580 638 660 753 870 957 990 1004 1044 1255 1276 1305 1506 1595 1740 1914 1980 2259 2510 2610 2761 2871 3012 3190 3765 3828 4518 4785 5020 5220 5522 5742 6380 7279 7530 8283 9036 9570 11044 11295 11484 13805 14355 14558 15060 16566 19140 21837 22590 24849 27610 28710 29116 33132 36395 41415 43674 45180 49698 55220 57420 65511 72790 80069 82830 87348 99396 109185 124245 131022 145580 160138 165660 218370 240207 248490 262044 320276 327555 400345 436740 480414 496980 655110 720621 800690 960828 1201035 1310220 1441242 1601380 2402070 2882484 3603105 4804140 7206210 14412420