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21279744 = 210322309
BaseRepresentation
bin101000100101…
…1010000000000
31111001010022200
41101023100000
520421422434
62040033200
7345606033
oct121132000
944033280
1021279744
1111014872
127162800
134540a85
142b7d01a
151d05199
hex144b400

21279744 has 66 divisors (see below), whose sum is σ = 61471410. Its totient is φ = 7090176.

The previous prime is 21279737. The next prime is 21279749. The reversal of 21279744 is 44797212.

It can be written as a sum of positive squares in only one way, i.e., 20358144 + 921600 = 4512^2 + 960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21279699 and 21279708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21279749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8062 + ... + 10370.

It is an arithmetic number, because the mean of its divisors is an integer number (931385).

Almost surely, 221279744 is an apocalyptic number.

21279744 is a gapful number since it is divisible by the number (24) 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 21279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30735705).

21279744 is an abundant number, since it is smaller than the sum of its proper divisors (40191666).

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

21279744 is a wasteful number, since it uses less digits than its factorization.

21279744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2314 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 21279744 is about 4612.9972902658. The cubic root of 21279744 is about 277.1120852119.

The spelling of 21279744 in words is "twenty-one million, two hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 2309 3072 4608 4618 6927 9216 9236 13854 18472 20781 27708 36944 41562 55416 73888 83124 110832 147776 166248 221664 295552 332496 443328 591104 664992 886656 1182208 1329984 1773312 2364416 2659968 3546624 5319936 7093248 10639872 21279744