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20168190 = 234573557
BaseRepresentation
bin100110011101…
…1110111111110
31101221122120000
41030323313332
520130340230
62000135130
7333266250
oct114736776
941848500
1020168190
1110425729
1269074a6
134241b53
14296dcd0
151b85b60
hex133bdfe

20168190 has 80 divisors (see below), whose sum is σ = 61994592. Its totient is φ = 4608576.

The previous prime is 20168173. The next prime is 20168191. The reversal of 20168190 is 9186102.

It is a super-2 number, since 2×201681902 = 813511775752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20168191) 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, 3892 + ... + 7448.

Almost surely, 220168190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20168190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30997296).

20168190 is an abundant number, since it is smaller than the sum of its proper divisors (41826402).

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

20168190 is a wasteful number, since it uses less digits than its factorization.

20168190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 20168190 is about 4490.9008005076. The cubic root of 20168190 is about 272.2005351474.

The spelling of 20168190 in words is "twenty million, one hundred sixty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 3557 5670 7114 10671 17785 21342 24899 32013 35570 49798 53355 64026 74697 96039 106710 124495 149394 160065 192078 224091 248990 288117 320130 373485 448182 480195 576234 672273 746970 960390 1120455 1344546 1440585 2016819 2240910 2881170 3361365 4033638 6722730 10084095 20168190