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20648220 = 22353771131
BaseRepresentation
bin100111011000…
…1000100011100
31102212001000220
41032301010130
520241220340
62014321340
7340335615
oct116610434
942761026
1020648220
111072334a
126ab9250
13437c4a8
142a56c0c
151c2ced0
hex13b111c

20648220 has 96 divisors (see below), whose sum is σ = 60673536. Its totient is φ = 5241600.

The previous prime is 20648219. The next prime is 20648233. The reversal of 20648220 is 2284602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157555 + ... + 157685.

It is an arithmetic number, because the mean of its divisors is an integer number (632016).

Almost surely, 220648220 is an apocalyptic number.

20648220 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 20648220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30336768).

20648220 is an abundant number, since it is smaller than the sum of its proper divisors (40025316).

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

20648220 is a wasteful number, since it uses less digits than its factorization.

20648220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20648220 is about 4544.0312498925. The cubic root of 20648220 is about 274.3432039403.

The spelling of 20648220 in words is "twenty million, six hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 71 74 111 131 142 148 185 213 222 262 284 355 370 393 426 444 524 555 655 710 740 786 852 1065 1110 1310 1420 1572 1965 2130 2220 2620 2627 3930 4260 4847 5254 7860 7881 9301 9694 10508 13135 14541 15762 18602 19388 24235 26270 27903 29082 31524 37204 39405 46505 48470 52540 55806 58164 72705 78810 93010 96940 111612 139515 145410 157620 186020 279030 290820 344137 558060 688274 1032411 1376548 1720685 2064822 3441370 4129644 5162055 6882740 10324110 20648220