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14071320 = 2334543101
BaseRepresentation
bin110101101011…
…011000011000
3222110220020000
4311223120120
512100240240
61221333000
7230414154
oct65533030
928426200
1014071320
117a40a9a
124867160
132bb8a33
141c24064
15137e430
hexd6b618

14071320 has 160 divisors (see below), whose sum is σ = 48874320. Its totient is φ = 3628800.

The previous prime is 14071319. The next prime is 14071327. The reversal of 14071320 is 2317041.

14071320 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 = 14071293 and 14071302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14071327) 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, 139270 + ... + 139370.

Almost surely, 214071320 is an apocalyptic number.

14071320 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 14071320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24437160).

14071320 is an abundant number, since it is smaller than the sum of its proper divisors (34803000).

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

14071320 is a wasteful number, since it uses less digits than its factorization.

14071320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 14071320 is about 3751.1758156610. The cubic root of 14071320 is about 241.4227985168.

Adding to 14071320 its reverse (2317041), we get a palindrome (16388361).

The spelling of 14071320 in words is "fourteen million, seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 81 86 90 101 108 120 129 135 162 172 180 202 215 216 258 270 303 324 344 360 387 404 405 430 505 516 540 606 645 648 774 808 810 860 909 1010 1032 1080 1161 1212 1290 1515 1548 1620 1720 1818 1935 2020 2322 2424 2580 2727 3030 3096 3240 3483 3636 3870 4040 4343 4545 4644 5160 5454 5805 6060 6966 7272 7740 8181 8686 9090 9288 10908 11610 12120 13029 13635 13932 15480 16362 17372 17415 18180 21715 21816 23220 26058 27270 27864 32724 34744 34830 36360 39087 40905 43430 46440 52116 54540 65145 65448 69660 78174 81810 86860 104232 109080 117261 130290 139320 156348 163620 173720 195435 234522 260580 312696 327240 351783 390870 469044 521160 586305 703566 781740 938088 1172610 1407132 1563480 1758915 2345220 2814264 3517830 4690440 7035660 14071320