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14086200 = 23352171381
BaseRepresentation
bin110101101111…
…000000111000
3222111122122010
4311233000320
512101224300
61221525520
7230505432
oct65570070
928448563
1014086200
117a51197
1248738a0
132bc273b
141c29652
151383a50
hexd6f038

14086200 has 96 divisors (see below), whose sum is σ = 46269360. Its totient is φ = 3532800.

The previous prime is 14086169. The next prime is 14086207. The reversal of 14086200 is 268041.

14086200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14086207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9510 + ... + 10890.

Almost surely, 214086200 is an apocalyptic number.

14086200 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 14086200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23134680).

14086200 is an abundant number, since it is smaller than the sum of its proper divisors (32183160).

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

14086200 is a wasteful number, since it uses less digits than its factorization.

14086200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 14086200 is about 3753.1586697074. The cubic root of 14086200 is about 241.5078676672.

The spelling of 14086200 in words is "fourteen million, eighty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1381 1700 2040 2550 2762 3400 4143 5100 5524 6905 8286 10200 11048 13810 16572 20715 23477 27620 33144 34525 41430 46954 55240 69050 70431 82860 93908 103575 117385 138100 140862 165720 187816 207150 234770 276200 281724 352155 414300 469540 563448 586925 704310 828600 939080 1173850 1408620 1760775 2347700 2817240 3521550 4695400 7043100 14086200