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14005200 = 24352111061
BaseRepresentation
bin110101011011…
…001111010000
3222100112112010
4311123033100
512041131300
61220102520
7230020326
oct65331720
928315463
1014005200
1179a6350
124834a40
132b94901
141c07d16
151369a50
hexd5b3d0

14005200 has 120 divisors (see below), whose sum is σ = 48987936. Its totient is φ = 3392000.

The previous prime is 14005193. The next prime is 14005207. The reversal of 14005200 is 250041.

It is an interprime number because it is at equal distance from previous prime (14005193) and next prime (14005207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×140052002 = 392291254080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12670 + ... + 13730.

Almost surely, 214005200 is an apocalyptic number.

14005200 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 14005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24493968).

14005200 is an abundant number, since it is smaller than the sum of its proper divisors (34982736).

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

14005200 is a wasteful number, since it uses less digits than its factorization.

14005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 14005200 is about 3742.3522014904. The cubic root of 14005200 is about 241.0440625804.

Adding to 14005200 its reverse (250041), we get a palindrome (14255241).

The spelling of 14005200 in words is "fourteen million, five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1061 1100 1200 1320 1650 2122 2200 2640 3183 3300 4244 4400 5305 6366 6600 8488 10610 11671 12732 13200 15915 16976 21220 23342 25464 26525 31830 35013 42440 46684 50928 53050 58355 63660 70026 79575 84880 93368 106100 116710 127320 140052 159150 175065 186736 212200 233420 254640 280104 291775 318300 350130 424400 466840 560208 583550 636600 700260 875325 933680 1167100 1273200 1400520 1750650 2334200 2801040 3501300 4668400 7002600 14005200