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20535320 = 235131723101
BaseRepresentation
bin100111001010…
…1100000011000
31102122022011102
41032111200120
520224112240
62012050532
7336355511
oct116254030
942568142
1020535320
1110656543
126a63a48
13433cca0
142a27a08
151c09815
hex1395818

20535320 has 128 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 6758400.

The previous prime is 20535293. The next prime is 20535323. The reversal of 20535320 is 2353502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20535292 and 20535301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20535323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203270 + ... + 203370.

It is an arithmetic number, because the mean of its divisors is an integer number (433755).

Almost surely, 220535320 is an apocalyptic number.

20535320 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 20535320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

20535320 is an abundant number, since it is smaller than the sum of its proper divisors (34985320).

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

20535320 is a wasteful number, since it uses less digits than its factorization.

20535320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 20535320 is about 4531.5913319716. The cubic root of 20535320 is about 273.8422734050.

Adding to 20535320 its reverse (2353502), we get a palindrome (22888822).

The spelling of 20535320 in words is "twenty million, five hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 23 26 34 40 46 52 65 68 85 92 101 104 115 130 136 170 184 202 221 230 260 299 340 391 404 442 460 505 520 598 680 782 808 884 920 1010 1105 1196 1313 1495 1564 1717 1768 1955 2020 2210 2323 2392 2626 2990 3128 3434 3910 4040 4420 4646 5083 5252 5980 6565 6868 7820 8585 8840 9292 10166 10504 11615 11960 13130 13736 15640 17170 18584 20332 22321 23230 25415 26260 30199 34340 39491 40664 44642 46460 50830 52520 60398 68680 78982 89284 92920 101660 111605 120796 150995 157964 178568 197455 203320 223210 241592 301990 315928 394910 446420 513383 603980 789820 892840 1026766 1207960 1579640 2053532 2566915 4107064 5133830 10267660 20535320