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14021100 = 223552577
BaseRepresentation
bin110101011111…
…000111101100
3222101100100000
4311133013230
512042133400
61220304300
7230114562
oct65370754
928340300
1014021100
117a07295
124842090
132b9bc12
141c0da32
15136e600
hexd5f1ec

14021100 has 108 divisors (see below), whose sum is σ = 45655064. Its totient is φ = 3732480.

The previous prime is 14021089. The next prime is 14021101. The reversal of 14021100 is 112041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24012 + ... + 24588.

Almost surely, 214021100 is an apocalyptic number.

14021100 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 14021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22827532).

14021100 is an abundant number, since it is smaller than the sum of its proper divisors (31633964).

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

14021100 is a wasteful number, since it uses less digits than its factorization.

14021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 14021100 is about 3744.4759312886. The cubic root of 14021100 is about 241.1352465962.

Adding to 14021100 its reverse (112041), we get a palindrome (14133141).

The spelling of 14021100 in words is "fourteen million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 577 675 810 900 972 1154 1215 1350 1620 1731 2025 2308 2430 2700 2885 3462 4050 4860 5193 5770 6075 6924 8100 8655 10386 11540 12150 14425 15579 17310 20772 24300 25965 28850 31158 34620 43275 46737 51930 57700 62316 77895 86550 93474 103860 129825 140211 155790 173100 186948 233685 259650 280422 311580 389475 467370 519300 560844 701055 778950 934740 1168425 1402110 1557900 2336850 2804220 3505275 4673700 7010550 14021100