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21320840 = 2355389113
BaseRepresentation
bin101000101010…
…1010010001000
31111010012200202
41101111102020
520424231330
62040551332
7346136612
oct121252210
944105622
1021320840
1111042732
127182548
1345566a8
142b8ddb2
151d12445
hex1455488

21320840 has 64 divisors (see below), whose sum is σ = 49863600. Its totient is φ = 8200192.

The previous prime is 21320837. The next prime is 21320851. The reversal of 21320840 is 4802312.

It can be written as a sum of positive squares in 8 ways, for example, as 2328676 + 18992164 = 1526^2 + 4358^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188624 + ... + 188736.

Almost surely, 221320840 is an apocalyptic number.

21320840 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 21320840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24931800).

21320840 is an abundant number, since it is smaller than the sum of its proper divisors (28542760).

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

21320840 is a wasteful number, since it uses less digits than its factorization.

21320840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 21320840 is about 4617.4495124473. The cubic root of 21320840 is about 277.2903592087.

The spelling of 21320840 in words is "twenty-one million, three hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 89 106 113 178 212 226 265 356 424 445 452 530 565 712 890 904 1060 1130 1780 2120 2260 3560 4520 4717 5989 9434 10057 11978 18868 20114 23585 23956 29945 37736 40228 47170 47912 50285 59890 80456 94340 100570 119780 188680 201140 239560 402280 533021 1066042 2132084 2665105 4264168 5330210 10660420 21320840