Search a number
-
+
14111020 = 2257311217
BaseRepresentation
bin110101110101…
…000100101100
3222112220200101
4311311010230
512103023040
61222240444
7230641000
oct65650454
928486611
1014111020
117a68900
124886124
132c00b21
141c34700
15138b09a
hexd7512c

14111020 has 144 divisors (see below), whose sum is σ = 40219200. Its totient is φ = 4139520.

The previous prime is 14111017. The next prime is 14111021. The reversal of 14111020 is 2011141.

14111020 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 14110988 and 14111006.

It is not an unprimeable number, because it can be changed into a prime (14111021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830052 + ... + 830068.

It is an arithmetic number, because the mean of its divisors is an integer number (279300).

Almost surely, 214111020 is an apocalyptic number.

14111020 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 14111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

14111020 is an abundant number, since it is smaller than the sum of its proper divisors (26108180).

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

14111020 is a wasteful number, since it uses less digits than its factorization.

14111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 14111020 is about 3756.4637626363. The cubic root of 14111020 is about 241.6496307188.

Adding to 14111020 its reverse (2011141), we get a palindrome (16122161).

The spelling of 14111020 in words is "fourteen million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 49 55 68 70 77 85 98 110 119 121 140 154 170 187 196 220 238 242 245 308 340 343 374 385 476 484 490 539 595 605 686 748 770 833 847 935 980 1078 1190 1210 1309 1372 1540 1666 1694 1715 1870 2057 2156 2380 2420 2618 2695 3332 3388 3430 3740 3773 4114 4165 4235 5236 5390 5831 5929 6545 6860 7546 8228 8330 8470 9163 10285 10780 11662 11858 13090 14399 15092 16660 16940 18326 18865 20570 23324 23716 26180 28798 29155 29645 36652 37730 41140 41503 45815 57596 58310 59290 64141 71995 75460 83006 91630 100793 116620 118580 128282 143990 166012 183260 201586 207515 256564 287980 320705 403172 415030 503965 641410 705551 830060 1007930 1282820 1411102 2015860 2822204 3527755 7055510 14111020