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14214420 = 22335112393
BaseRepresentation
bin110110001110…
…010100010100
3222202011112000
4312032110110
512114330140
61224355300
7231551313
oct66162424
928664460
1014214420
118029560
124915b30
132c38bcc
141c6027a
1513aba30
hexd8e514

14214420 has 96 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 3444480.

The previous prime is 14214419. The next prime is 14214439. The reversal of 14214420 is 2441241.

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 = 14214393 and 14214402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4744 + ... + 7136.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 214214420 is an apocalyptic number.

14214420 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 14214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

14214420 is an abundant number, since it is smaller than the sum of its proper divisors (34048620).

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

14214420 is a wasteful number, since it uses less digits than its factorization.

14214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2414 counting only the distinct ones).

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

The square root of 14214420 is about 3770.2015861224. The cubic root of 14214420 is about 242.2384326733.

Adding to 14214420 its reverse (2441241), we get a palindrome (16655661).

The spelling of 14214420 in words is "fourteen million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2393 2970 4786 5940 7179 9572 11965 14358 21537 23930 26323 28716 35895 43074 47860 52646 64611 71790 78969 86148 105292 107685 129222 131615 143580 157938 215370 236907 258444 263230 315876 323055 394845 430740 473814 526460 646110 710721 789690 947628 1184535 1292220 1421442 1579380 2369070 2842884 3553605 4738140 7107210 14214420