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20145180 = 223511131233
BaseRepresentation
bin100110011011…
…0010000011100
31101220110222210
41030312100130
520124121210
61555440420
7333142206
oct114662034
941813883
1020145180
111040a410
1268b6110
134234533
142965776
151b7de20
hex133641c

20145180 has 96 divisors (see below), whose sum is σ = 62270208. Its totient is φ = 4825600.

The previous prime is 20145173. The next prime is 20145193. The reversal of 20145180 is 8154102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86344 + ... + 86576.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 220145180 is an apocalyptic number.

20145180 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 20145180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104).

20145180 is an abundant number, since it is smaller than the sum of its proper divisors (42125028).

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

20145180 is a wasteful number, since it uses less digits than its factorization.

20145180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 20145180 is about 4488.3382225496. The cubic root of 20145180 is about 272.0969773867.

Adding to 20145180 its reverse (8154102), we get a palindrome (28299282).

The spelling of 20145180 in words is "twenty million, one hundred forty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 233 262 330 393 466 524 655 660 699 786 932 1165 1310 1398 1441 1572 1965 2330 2563 2620 2796 2882 3495 3930 4323 4660 5126 5764 6990 7205 7689 7860 8646 10252 12815 13980 14410 15378 17292 21615 25630 28820 30523 30756 38445 43230 51260 61046 76890 86460 91569 122092 152615 153780 183138 305230 335753 366276 457845 610460 671506 915690 1007259 1343012 1678765 1831380 2014518 3357530 4029036 5036295 6715060 10072590 20145180