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20036160 = 26345773
BaseRepresentation
bin100110001101…
…1101001000000
31101200221110000
41030123221000
520112124120
61553240000
7332206314
oct114335100
941627400
1020036160
1110345511
126863000
1341c6a21
142937b44
151b5b990
hex131ba40

20036160 has 140 divisors (see below), whose sum is σ = 71364348. Its totient is φ = 5336064.

The previous prime is 20036131. The next prime is 20036171. The reversal of 20036160 is 6163002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 16257024 = 1944^2 + 4032^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25534 + ... + 26306.

Almost surely, 220036160 is an apocalyptic number.

20036160 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 20036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35682174).

20036160 is an abundant number, since it is smaller than the sum of its proper divisors (51328188).

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

20036160 is an equidigital number, since it uses as much as digits as its factorization.

20036160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20036160 is about 4476.1769402024. The cubic root of 20036160 is about 271.6052520705.

Adding to 20036160 its reverse (6163002), we get a palindrome (26199162).

The spelling of 20036160 in words is "twenty million, thirty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 773 810 864 960 1080 1296 1440 1546 1620 1728 2160 2319 2592 2880 3092 3240 3865 4320 4638 5184 6184 6480 6957 7730 8640 9276 11595 12368 12960 13914 15460 18552 20871 23190 24736 25920 27828 30920 34785 37104 41742 46380 49472 55656 61840 62613 69570 74208 83484 92760 104355 111312 123680 125226 139140 148416 166968 185520 208710 222624 247360 250452 278280 313065 333936 371040 417420 445248 500904 556560 626130 667872 742080 834840 1001808 1113120 1252260 1335744 1669680 2003616 2226240 2504520 3339360 4007232 5009040 6678720 10018080 20036160