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21303720 = 2332517592
BaseRepresentation
bin101000101000…
…1000110101000
31111002100012200
41101101012220
520423204340
62040340200
7346035654
oct121210650
944070180
1021303720
1111030889
127174660
13454b969
142b87a64
151d0c330
hex14511a8

21303720 has 144 divisors (see below), whose sum is σ = 74573460. Its totient is φ = 5256192.

The previous prime is 21303713. The next prime is 21303757. The reversal of 21303720 is 2730312.

It can be written as a sum of positive squares in 2 ways, for example, as 21178404 + 125316 = 4602^2 + 354^2 .

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 = 21303693 and 21303702.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 361051 + ... + 361109.

Almost surely, 221303720 is an apocalyptic number.

21303720 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 21303720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37286730).

21303720 is an abundant number, since it is smaller than the sum of its proper divisors (53269740).

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

21303720 is a wasteful number, since it uses less digits than its factorization.

21303720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 21303720 is about 4615.5953028835. The cubic root of 21303720 is about 277.2161206994.

The spelling of 21303720 in words is "twenty-one million, three hundred three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 59 60 68 72 85 90 102 118 120 136 153 170 177 180 204 236 255 295 306 340 354 360 408 472 510 531 590 612 680 708 765 885 1003 1020 1062 1180 1224 1416 1530 1770 2006 2040 2124 2360 2655 3009 3060 3481 3540 4012 4248 5015 5310 6018 6120 6962 7080 8024 9027 10030 10443 10620 12036 13924 15045 17405 18054 20060 20886 21240 24072 27848 30090 31329 34810 36108 40120 41772 45135 52215 59177 60180 62658 69620 72216 83544 90270 104430 118354 120360 125316 139240 156645 177531 180540 208860 236708 250632 295885 313290 355062 361080 417720 473416 532593 591770 626580 710124 887655 1065186 1183540 1253160 1420248 1775310 2130372 2367080 2662965 3550620 4260744 5325930 7101240 10651860 21303720