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20520126 = 23211372801
BaseRepresentation
bin100111001000…
…1110010111110
31102121112022200
41032101302332
520223121001
62011452330
7336263304
oct116216276
942545280
1020520126
1110646090
126a570a6
1343360b3
142a22274
151c05086
hex1391cbe

20520126 has 48 divisors (see below), whose sum is σ = 49830768. Its totient is φ = 6048000.

The previous prime is 20520103. The next prime is 20520161. The reversal of 20520126 is 62102502.

20520126 is a `hidden beast` number, since 20 + 520 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20520099 and 20520108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5926 + ... + 8726.

It is an arithmetic number, because the mean of its divisors is an integer number (1038141).

Almost surely, 220520126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20520126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24915384).

20520126 is an abundant number, since it is smaller than the sum of its proper divisors (29310642).

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

20520126 is a wasteful number, since it uses less digits than its factorization.

20520126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20520126 is about 4529.9145687308. The cubic root of 20520126 is about 273.7747184785.

Adding to 20520126 its reverse (62102502), we get a palindrome (82622628).

The spelling of 20520126 in words is "twenty million, five hundred twenty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 2801 3663 5602 7326 8403 16806 25209 30811 50418 61622 92433 103637 184866 207274 277299 310911 554598 621822 932733 1140007 1865466 2280014 3420021 6840042 10260063 20520126