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21280320 = 26345821
BaseRepresentation
bin101000100101…
…1011001000000
31111001011010000
41101023121000
520421432240
62040040000
7345610515
oct121133100
944034100
1021280320
1111015246
127163000
134541109
142b7d30c
151d05430
hex144b640

21280320 has 140 divisors (see below), whose sum is σ = 75790044. Its totient is φ = 5667840.

The previous prime is 21280307. The next prime is 21280327. The reversal of 21280320 is 2308212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 14561856 = 2592^2 + 3816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21280293 and 21280302.

It is not an unprimeable number, because it can be changed into a prime (21280327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25510 + ... + 26330.

Almost surely, 221280320 is an apocalyptic number.

21280320 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 21280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37895022).

21280320 is an abundant number, since it is smaller than the sum of its proper divisors (54509724).

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

21280320 is an equidigital number, since it uses as much as digits as its factorization.

21280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21280320 is about 4613.0597221367. The cubic root of 21280320 is about 277.1145854788.

Adding to 21280320 its reverse (2308212), we get a palindrome (23588532).

The spelling of 21280320 in words is "twenty-one million, two hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 821 864 960 1080 1296 1440 1620 1642 1728 2160 2463 2592 2880 3240 3284 4105 4320 4926 5184 6480 6568 7389 8210 8640 9852 12315 12960 13136 14778 16420 19704 22167 24630 25920 26272 29556 32840 36945 39408 44334 49260 52544 59112 65680 66501 73890 78816 88668 98520 110835 118224 131360 133002 147780 157632 177336 197040 221670 236448 262720 266004 295560 332505 354672 394080 443340 472896 532008 591120 665010 709344 788160 886680 1064016 1182240 1330020 1418688 1773360 2128032 2364480 2660040 3546720 4256064 5320080 7093440 10640160 21280320