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21054800 = 2452134049
BaseRepresentation
bin101000001010…
…0010101010000
31110121200202102
41100110111100
520342223200
62031135532
7343651154
oct120242520
943550672
1021054800
1110980868
1270745a8
134492580
142b21064
151cad6d5
hex1414550

21054800 has 60 divisors (see below), whose sum is σ = 54488700. Its totient is φ = 7772160.

The previous prime is 21054791. The next prime is 21054811. The reversal of 21054800 is 845012.

It can be written as a sum of positive squares in 6 ways, for example, as 4343056 + 16711744 = 2084^2 + 4088^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3176 + ... + 7224.

It is an arithmetic number, because the mean of its divisors is an integer number (908145).

Almost surely, 221054800 is an apocalyptic number.

21054800 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 21054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27244350).

21054800 is an abundant number, since it is smaller than the sum of its proper divisors (33433900).

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

21054800 is a wasteful number, since it uses less digits than its factorization.

21054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 21054800 is about 4588.5509695328. The cubic root of 21054800 is about 276.1321918043.

Adding to 21054800 its reverse (845012), we get a palindrome (21899812).

The spelling of 21054800 in words is "twenty-one million, fifty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 4049 5200 8098 16196 20245 32392 40490 52637 64784 80980 101225 105274 161960 202450 210548 263185 323920 404900 421096 526370 809800 842192 1052740 1315925 1619600 2105480 2631850 4210960 5263700 10527400 21054800