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14111820 = 2234531281
BaseRepresentation
bin110101110101…
…010001001100
3222112221210000
4311311101030
512103034240
61222244300
7230643222
oct65652114
928487700
1014111820
117a69468
124886690
132c012b8
141c34b12
15138b430
hexd7544c

14111820 has 120 divisors (see below), whose sum is σ = 45859968. Its totient is φ = 3628800.

The previous prime is 14111809. The next prime is 14111827. The reversal of 14111820 is 2811141.

14111820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14111793 and 14111802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111827) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50080 + ... + 50360.

Almost surely, 214111820 is an apocalyptic number.

14111820 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 14111820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22929984).

14111820 is an abundant number, since it is smaller than the sum of its proper divisors (31748148).

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

14111820 is a wasteful number, since it uses less digits than its factorization.

14111820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 14111820 is about 3756.5702442521. The cubic root of 14111820 is about 241.6541972692.

Adding to 14111820 its reverse (2811141), we get a palindrome (16922961).

The spelling of 14111820 in words is "fourteen million, one hundred eleven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 281 310 324 372 405 465 540 558 562 620 810 837 843 930 1116 1124 1395 1405 1620 1674 1686 1860 2511 2529 2790 2810 3348 3372 4185 4215 5022 5058 5580 5620 7587 8370 8430 8711 10044 10116 12555 12645 15174 16740 16860 17422 22761 25110 25290 26133 30348 34844 37935 43555 45522 50220 50580 52266 75870 78399 87110 91044 104532 113805 130665 151740 156798 174220 227610 235197 261330 313596 391995 455220 470394 522660 705591 783990 940788 1175985 1411182 1567980 2351970 2822364 3527955 4703940 7055910 14111820