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21120320 = 265135077
BaseRepresentation
bin101000010010…
…0010101000000
31110202000122002
41100210111000
520401322240
62032403132
7344343164
oct120442500
943660562
1021120320
1110a16011
1270a64a8
1344b6340
142b3aca4
151cc2d15
hex1424540

21120320 has 56 divisors (see below), whose sum is σ = 54172104. Its totient is φ = 7796736.

The previous prime is 21120317. The next prime is 21120349. The reversal of 21120320 is 2302112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3748096 + 17372224 = 1936^2 + 4168^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1622 + ... + 6698.

It is an arithmetic number, because the mean of its divisors is an integer number (967359).

Almost surely, 221120320 is an apocalyptic number.

21120320 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 21120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27086052).

21120320 is an abundant number, since it is smaller than the sum of its proper divisors (33051784).

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

21120320 is a wasteful number, since it uses less digits than its factorization.

21120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 21120320 is about 4595.6849326297. The cubic root of 21120320 is about 276.4183252385.

Adding to 21120320 its reverse (2302112), we get a palindrome (23422432).

The spelling of 21120320 in words is "twenty-one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 5077 10154 20308 25385 40616 50770 66001 81232 101540 132002 162464 203080 264004 324928 330005 406160 528008 660010 812320 1056016 1320020 1624640 2112032 2640040 4224064 5280080 10560160 21120320