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20365020 = 2234513967
BaseRepresentation
bin100110110101…
…1111011011100
31102022122120000
41031223323130
520203140040
62004254300
7335046144
oct115537334
942278500
1020365020
111054a5a5
1269a1390
1342b0610
1429c1924
151bc4130
hex136bedc

20365020 has 120 divisors (see below), whose sum is σ = 68871264. Its totient is φ = 5007744.

The previous prime is 20365019. The next prime is 20365027. The reversal of 20365020 is 2056302.

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 = 20364984 and 20365002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20365027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20577 + ... + 21543.

Almost surely, 220365020 is an apocalyptic number.

20365020 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 20365020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34435632).

20365020 is an abundant number, since it is smaller than the sum of its proper divisors (48506244).

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

20365020 is a wasteful number, since it uses less digits than its factorization.

20365020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20365020 is about 4512.7619037569. The cubic root of 20365020 is about 273.0831771669.

It can be divided in two parts, 2036 and 5020, that added together give a square (7056 = 842).

The spelling of 20365020 in words is "twenty million, three hundred sixty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 967 1053 1170 1404 1620 1755 1934 2106 2340 2901 3510 3868 4212 4835 5265 5802 7020 8703 9670 10530 11604 12571 14505 17406 19340 21060 25142 26109 29010 34812 37713 43515 50284 52218 58020 62855 75426 78327 87030 104436 113139 125710 130545 150852 156654 174060 188565 226278 251420 261090 313308 339417 377130 391635 452556 522180 565695 678834 754260 783270 1018251 1131390 1357668 1566540 1697085 2036502 2262780 3394170 4073004 5091255 6788340 10182510 20365020