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21003320 = 235133239
BaseRepresentation
bin101000000011…
…1110000111000
31110112002010202
41100013300320
520334101240
62030101332
7343345112
oct120076070
943462122
1021003320
1110946118
12704a848
134475000
142b0a3b2
151c9d315
hex1407c38

21003320 has 64 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 7722624.

The previous prime is 21003299. The next prime is 21003329. The reversal of 21003320 is 2330012.

It is a super-2 number, since 2×210033202 = 882278902044800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87761 + ... + 87999.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 221003320 is an apocalyptic number.

21003320 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 21003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

21003320 is an abundant number, since it is smaller than the sum of its proper divisors (30404680).

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

21003320 is a wasteful number, since it uses less digits than its factorization.

21003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 21003320 is about 4582.9379223376. The cubic root of 21003320 is about 275.9069559645.

Adding to 21003320 its reverse (2330012), we get a palindrome (23333332).

The spelling of 21003320 in words is "twenty-one million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 239 260 338 478 520 676 845 956 1195 1352 1690 1912 2197 2390 3107 3380 4394 4780 6214 6760 8788 9560 10985 12428 15535 17576 21970 24856 31070 40391 43940 62140 80782 87880 124280 161564 201955 323128 403910 525083 807820 1050166 1615640 2100332 2625415 4200664 5250830 10501660 21003320