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21411300 = 22352149479
BaseRepresentation
bin101000110101…
…1010111100100
31111021210210010
41101223113210
520440130200
62042530220
7346664421
oct121532744
944253703
1021411300
11110a4699
127206970
134588911
142bb4d48
151d2e150
hex146b5e4

21411300 has 72 divisors (see below), whose sum is σ = 62496000. Its totient is φ = 5659520.

The previous prime is 21411287. The next prime is 21411301. The reversal of 21411300 is 311412.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21411301) 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, 44461 + ... + 44939.

It is an arithmetic number, because the mean of its divisors is an integer number (868000).

Almost surely, 221411300 is an apocalyptic number.

21411300 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 21411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248000).

21411300 is an abundant number, since it is smaller than the sum of its proper divisors (41084700).

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

21411300 is a wasteful number, since it uses less digits than its factorization.

21411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

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

The square root of 21411300 is about 4627.2345953064. The cubic root of 21411300 is about 277.6819681428.

Adding to 21411300 its reverse (311412), we get a palindrome (21722712).

The spelling of 21411300 in words is "twenty-one million, four hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 479 596 745 894 958 1437 1490 1788 1916 2235 2395 2874 2980 3725 4470 4790 5748 7185 7450 8940 9580 11175 11975 14370 14900 22350 23950 28740 35925 44700 47900 71371 71850 142742 143700 214113 285484 356855 428226 713710 856452 1070565 1427420 1784275 2141130 3568550 4282260 5352825 7137100 10705650 21411300