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21141300 = 22352193709
BaseRepresentation
bin101000010100…
…1011100110100
31110210002102010
41100221130310
520403010200
62033044220
7344461305
oct120513464
943702363
1021141300
1110a2a854
1270b6670
1344c2a5b
142b447ac
151cc9150
hex1429734

21141300 has 72 divisors (see below), whose sum is σ = 64405600. Its totient is φ = 5339520.

The previous prime is 21141299. The next prime is 21141317. The reversal of 21141300 is 314112.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3846 + ... + 7554.

Almost surely, 221141300 is an apocalyptic number.

21141300 is a gapful number since it is divisible by the number (20) 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 21141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32202800).

21141300 is an abundant number, since it is smaller than the sum of its proper divisors (43264300).

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

21141300 is a wasteful number, since it uses less digits than its factorization.

21141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 21141300 is about 4597.9669420299. The cubic root of 21141300 is about 276.5098222310.

Adding to 21141300 its reverse (314112), we get a palindrome (21455412).

The spelling of 21141300 in words is "twenty-one million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 3709 5700 7418 11127 14836 18545 22254 37090 44508 55635 70471 74180 92725 111270 140942 185450 211413 222540 278175 281884 352355 370900 422826 556350 704710 845652 1057065 1112700 1409420 1761775 2114130 3523550 4228260 5285325 7047100 10570650 21141300