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14200272 = 243410957
BaseRepresentation
bin110110001010…
…110111010000
3222201110010000
4312022313100
512113402042
61224210000
7231462132
oct66126720
928643100
1014200272
118019969
124909900
132c32638
141c59052
1513a774c
hexd8add0

14200272 has 50 divisors (see below), whose sum is σ = 41103458. Its totient is φ = 4732992.

The previous prime is 14200259. The next prime is 14200273. The reversal of 14200272 is 27200241.

14200272 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 can be written as a sum of positive squares in only one way, i.e., 12702096 + 1498176 = 3564^2 + 1224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200273) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4183 + ... + 6774.

Almost surely, 214200272 is an apocalyptic number.

14200272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14200272 is an abundant number, since it is smaller than the sum of its proper divisors (26903186).

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

14200272 is a wasteful number, since it uses less digits than its factorization.

14200272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10977 (or 10962 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14200272 is about 3768.3248267632. The cubic root of 14200272 is about 242.1580371540.

The spelling of 14200272 in words is "fourteen million, two hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10957 21914 32871 43828 65742 87656 98613 131484 175312 197226 262968 295839 394452 525936 591678 788904 887517 1183356 1577808 1775034 2366712 3550068 4733424 7100136 14200272