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14080200 = 2335231757
BaseRepresentation
bin110101101101…
…100011001000
3222111100101220
4311231203020
512101031300
61221442040
7230452101
oct65554310
928440356
1014080200
117a47732
124870320
132bbcaa4
141c273a8
151381da0
hexd6d8c8

14080200 has 96 divisors (see below), whose sum is σ = 45116160. Its totient is φ = 3628800.

The previous prime is 14080193. The next prime is 14080201. The reversal of 14080200 is 208041.

14080200 is digitally balanced in base 2 and base 4, because in such bases 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 (15).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 14080200.

It is not an unprimeable number, because it can be changed into a prime (14080201) 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, 18222 + ... + 18978.

It is an arithmetic number, because the mean of its divisors is an integer number (469960).

Almost surely, 214080200 is an apocalyptic number.

14080200 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 14080200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22558080).

14080200 is an abundant number, since it is smaller than the sum of its proper divisors (31035960).

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

14080200 is a wasteful number, since it uses less digits than its factorization.

14080200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 14080200 is about 3752.3592578537. The cubic root of 14080200 is about 241.4735728019.

Adding to 14080200 its reverse (208041), we get a palindrome (14288241).

The spelling of 14080200 in words is "fourteen million, eighty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 757 775 930 1240 1514 1550 1860 2271 2325 3028 3100 3720 3785 4542 4650 6056 6200 7570 9084 9300 11355 15140 18168 18600 18925 22710 23467 30280 37850 45420 46934 56775 70401 75700 90840 93868 113550 117335 140802 151400 187736 227100 234670 281604 352005 454200 469340 563208 586675 704010 938680 1173350 1408020 1760025 2346700 2816040 3520050 4693400 7040100 14080200