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20727220 = 22531101331
BaseRepresentation
bin100111100010…
…0010110110100
31110000001101211
41033010112310
520301232340
62020131204
7341115133
oct117042664
943001354
1020727220
1110777738
126b36b04
1343a9437
142a7791a
151c465ea
hex13c45b4

20727220 has 48 divisors (see below), whose sum is σ = 45513216. Its totient is φ = 7920000.

The previous prime is 20727193. The next prime is 20727227. The reversal of 20727220 is 2272702.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20727191 and 20727200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20727227) 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, 62455 + ... + 62785.

It is an arithmetic number, because the mean of its divisors is an integer number (948192).

Almost surely, 220727220 is an apocalyptic number.

20727220 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 20727220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22756608).

20727220 is an abundant number, since it is smaller than the sum of its proper divisors (24785996).

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

20727220 is a wasteful number, since it uses less digits than its factorization.

20727220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 20727220 is about 4552.7156730901. The cubic root of 20727220 is about 274.6926373103.

Adding to 20727220 its reverse (2272702), we get a palindrome (22999922).

The spelling of 20727220 in words is "twenty million, seven hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 331 404 505 620 662 1010 1324 1655 2020 3131 3310 6262 6620 10261 12524 15655 20522 31310 33431 41044 51305 62620 66862 102610 133724 167155 205220 334310 668620 1036361 2072722 4145444 5181805 10363610 20727220