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20521320 = 2335414397
BaseRepresentation
bin100111001001…
…0000101101000
31102121120221220
41032102011220
520223140240
62011502040
7336266631
oct116220550
942546856
1020521320
1110646a76
126a57920
1343367c1
142a22888
151c055d0
hex1392168

20521320 has 128 divisors (see below), whose sum is σ = 65197440. Its totient is φ = 5160960.

The previous prime is 20521309. The next prime is 20521331. The reversal of 20521320 is 2312502.

It is an interprime number because it is at equal distance from previous prime (20521309) and next prime (20521331).

It is a super-2 number, since 2×205213202 = 842249149084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20521320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211512 + ... + 211608.

It is an arithmetic number, because the mean of its divisors is an integer number (509355).

Almost surely, 220521320 is an apocalyptic number.

20521320 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 20521320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32598720).

20521320 is an abundant number, since it is smaller than the sum of its proper divisors (44676120).

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

20521320 is a wasteful number, since it uses less digits than its factorization.

20521320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20521320 is about 4530.0463573787. The cubic root of 20521320 is about 273.7800283984.

Adding to 20521320 its reverse (2312502), we get a palindrome (22833822).

The spelling of 20521320 in words is "twenty million, five hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 43 60 82 86 97 120 123 129 164 172 194 205 215 246 258 291 328 344 388 410 430 485 492 516 582 615 645 776 820 860 970 984 1032 1164 1230 1290 1455 1640 1720 1763 1940 2328 2460 2580 2910 3526 3880 3977 4171 4920 5160 5289 5820 7052 7954 8342 8815 10578 11640 11931 12513 14104 15908 16684 17630 19885 20855 21156 23862 25026 26445 31816 33368 35260 39770 41710 42312 47724 50052 52890 59655 62565 70520 79540 83420 95448 100104 105780 119310 125130 159080 166840 171011 211560 238620 250260 342022 477240 500520 513033 684044 855055 1026066 1368088 1710110 2052132 2565165 3420220 4104264 5130330 6840440 10260660 20521320