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21022320 = 2435117963
BaseRepresentation
bin101000000110…
…0011001110000
31110120001012110
41100030121300
520340203240
62030325320
7343454364
oct120143160
943501173
1021022320
1110959420
127059840
134480857
142b132a4
151ca3c80
hex140c670

21022320 has 80 divisors (see below), whose sum is σ = 71102592. Its totient is φ = 5095680.

The previous prime is 21022279. The next prime is 21022357. The reversal of 21022320 is 2322012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21022296 and 21022305.

It is a congruent number.

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, 1342 + ... + 6621.

Almost surely, 221022320 is an apocalyptic number.

21022320 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 21022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35551296).

21022320 is an abundant number, since it is smaller than the sum of its proper divisors (50080272).

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

21022320 is a wasteful number, since it uses less digits than its factorization.

21022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 21022320 is about 4585.0103598574. The cubic root of 21022320 is about 275.9901277712.

Adding to 21022320 its reverse (2322012), we get a palindrome (23344332).

The spelling of 21022320 in words is "twenty-one million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 7963 15926 23889 31852 39815 47778 63704 79630 87593 95556 119445 127408 159260 175186 191112 238890 262779 318520 350372 382224 437965 477780 525558 637040 700744 875930 955560 1051116 1313895 1401488 1751860 1911120 2102232 2627790 3503720 4204464 5255580 7007440 10511160 21022320