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14272100 = 225241592
BaseRepresentation
bin110110011100…
…011001100100
3222212002122022
4312130121210
512123201400
61225522312
7232211423
oct66343144
928762568
1014272100
118068927
124943398
132c5923b
141c772ba
1513bdb85
hexd9c664

14272100 has 54 divisors (see below), whose sum is σ = 32272674. Its totient is φ = 5475200.

The previous prime is 14272091. The next prime is 14272127. The reversal of 14272100 is 127241.

14272100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13924 + 14258176 = 118^2 + 3776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 241871 + ... + 241929.

Almost surely, 214272100 is an apocalyptic number.

14272100 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 14272100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136337).

14272100 is an abundant number, since it is smaller than the sum of its proper divisors (18000574).

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

14272100 is a wasteful number, since it uses less digits than its factorization.

14272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 14272100 is about 3777.8433000854. The cubic root of 14272100 is about 242.5656463080.

Adding to 14272100 its reverse (127241), we get a palindrome (14399341).

The spelling of 14272100 in words is "fourteen million, two hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 59 82 100 118 164 205 236 295 410 590 820 1025 1180 1475 2050 2419 2950 3481 4100 4838 5900 6962 9676 12095 13924 17405 24190 34810 48380 60475 69620 87025 120950 142721 174050 241900 285442 348100 570884 713605 1427210 2854420 3568025 7136050 14272100