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20920320 = 211325227
BaseRepresentation
bin100111111001…
…1100000000000
31110100212021200
41033303200000
520323422240
62024221200
7342551121
oct117634000
943325250
1020920320
1110899823
12700a800
1344462b5
142ac8048
151c83930
hex13f3800

20920320 has 144 divisors (see below), whose sum is σ = 72825480. Its totient is φ = 5554176.

The previous prime is 20920313. The next prime is 20920321. The reversal of 20920320 is 2302902.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 20920293 and 20920302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20920321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92047 + ... + 92273.

Almost surely, 220920320 is an apocalyptic number.

20920320 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 20920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36412740).

20920320 is an abundant number, since it is smaller than the sum of its proper divisors (51905160).

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

20920320 is a wasteful number, since it uses less digits than its factorization.

20920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20920320 is about 4573.8736318355. The cubic root of 20920320 is about 275.5430371621.

The spelling of 20920320 in words is "twenty million, nine hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 227 240 256 288 320 360 384 454 480 512 576 640 681 720 768 908 960 1024 1135 1152 1280 1362 1440 1536 1816 1920 2043 2048 2270 2304 2560 2724 2880 3072 3405 3632 3840 4086 4540 4608 5120 5448 5760 6144 6810 7264 7680 8172 9080 9216 10215 10240 10896 11520 13620 14528 15360 16344 18160 18432 20430 21792 23040 27240 29056 30720 32688 36320 40860 43584 46080 54480 58112 65376 72640 81720 87168 92160 108960 116224 130752 145280 163440 174336 217920 232448 261504 290560 326880 348672 435840 464896 523008 581120 653760 697344 871680 1046016 1162240 1307520 1394688 1743360 2092032 2324480 2615040 3486720 4184064 5230080 6973440 10460160 20920320