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14106420 = 22335151173
BaseRepresentation
bin110101110011…
…111100110100
3222112200101000
4311303330310
512102401140
61222203300
7230621406
oct65637464
928480330
1014106420
117a653a9
124883530
132bcb9c3
141c32b76
151389a30
hexd73f34

14106420 has 96 divisors (see below), whose sum is σ = 44432640. Its totient is φ = 3715200.

The previous prime is 14106409. The next prime is 14106437. The reversal of 14106420 is 2460141.

14106420 is a `hidden beast` number, since 14 + 10 + 642 + 0 = 666.

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 = 14106393 and 14106402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81454 + ... + 81626.

It is an arithmetic number, because the mean of its divisors is an integer number (462840).

Almost surely, 214106420 is an apocalyptic number.

14106420 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 14106420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22216320).

14106420 is an abundant number, since it is smaller than the sum of its proper divisors (30326220).

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

14106420 is a wasteful number, since it uses less digits than its factorization.

14106420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14106420 is about 3755.8514347615. The cubic root of 14106420 is about 241.6233697041.

Adding to 14106420 its reverse (2460141), we get a palindrome (16566561).

The spelling of 14106420 in words is "fourteen million, one hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 151 173 180 270 302 346 453 519 540 604 692 755 865 906 1038 1359 1510 1557 1730 1812 2076 2265 2595 2718 3020 3114 3460 4077 4530 4671 5190 5436 6228 6795 7785 8154 9060 9342 10380 13590 15570 16308 18684 20385 23355 26123 27180 31140 40770 46710 52246 78369 81540 93420 104492 130615 156738 235107 261230 313476 391845 470214 522460 705321 783690 940428 1175535 1410642 1567380 2351070 2821284 3526605 4702140 7053210 14106420