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14303200 = 255219941
BaseRepresentation
bin110110100011…
…111111100000
3222220200022011
4312203333200
512130200300
61230322304
7232401202
oct66437740
928820264
1014303200
11808a22a
124959394
132c6a442
141c84772
1513c7eba
hexda3fe0

14303200 has 72 divisors (see below), whose sum is σ = 36794520. Its totient is φ = 5414400.

The previous prime is 14303197. The next prime is 14303213. The reversal of 14303200 is 230341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14730 + ... + 15670.

It is an arithmetic number, because the mean of its divisors is an integer number (511035).

Almost surely, 214303200 is an apocalyptic number.

14303200 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 14303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18397260).

14303200 is an abundant number, since it is smaller than the sum of its proper divisors (22491320).

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

14303200 is a wasteful number, since it uses less digits than its factorization.

14303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 14303200 is about 3781.9571652783. The cubic root of 14303200 is about 242.7417081986.

Adding to 14303200 its reverse (230341), we get a palindrome (14533541).

The spelling of 14303200 in words is "fourteen million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 941 950 1520 1882 1900 3040 3764 3800 4705 7528 7600 9410 15056 15200 17879 18820 23525 30112 35758 37640 47050 71516 75280 89395 94100 143032 150560 178790 188200 286064 357580 376400 446975 572128 715160 752800 893950 1430320 1787900 2860640 3575800 7151600 14303200