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14322420 = 223557421
BaseRepresentation
bin110110101000…
…101011110100
3222221122200000
4312220223310
512131304140
61230551300
7232511220
oct66505364
928848600
1014322420
1180a2712
124968530
132c76108
141c8b780
1513cda30
hexda8af4

14322420 has 144 divisors (see below), whose sum is σ = 51612288. Its totient is φ = 3265920.

The previous prime is 14322401. The next prime is 14322443. The reversal of 14322420 is 2422341.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 14322393 and 14322402.

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, 33810 + ... + 34230.

Almost surely, 214322420 is an apocalyptic number.

14322420 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 14322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25806144).

14322420 is an abundant number, since it is smaller than the sum of its proper divisors (37289868).

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

14322420 is a wasteful number, since it uses less digits than its factorization.

14322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14322420 is about 3784.4973246126. The cubic root of 14322420 is about 242.8503880145.

Adding to 14322420 its reverse (2422341), we get a palindrome (16744761).

The spelling of 14322420 in words is "fourteen million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 421 486 540 567 630 756 810 842 945 972 1134 1215 1260 1263 1620 1684 1701 1890 2105 2268 2430 2526 2835 2947 3402 3780 3789 4210 4860 5052 5670 5894 6315 6804 7578 8420 8505 8841 11340 11367 11788 12630 14735 15156 17010 17682 18945 22734 25260 26523 29470 34020 34101 35364 37890 44205 45468 53046 56835 58940 68202 75780 79569 88410 102303 106092 113670 132615 136404 159138 170505 176820 204606 227340 238707 265230 318276 341010 397845 409212 477414 511515 530460 682020 716121 795690 954828 1023030 1193535 1432242 1591380 2046060 2387070 2864484 3580605 4774140 7161210 14322420