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20168240 = 2452397113
BaseRepresentation
bin100110011101…
…1111000110000
31101221122121212
41030323320300
520130340430
62000135252
7333266351
oct114737060
941848555
1020168240
1110425774
126907528
134241b91
14296dd28
151b85b95
hex133be30

20168240 has 80 divisors (see below), whose sum is σ = 49871808. Its totient is φ = 7569408.

The previous prime is 20168237. The next prime is 20168243. The reversal of 20168240 is 4286102.

It is an interprime number because it is at equal distance from previous prime (20168237) and next prime (20168243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20168243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178424 + ... + 178536.

Almost surely, 220168240 is an apocalyptic number.

20168240 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 20168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

20168240 is an abundant number, since it is smaller than the sum of its proper divisors (29703568).

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

20168240 is a wasteful number, since it uses less digits than its factorization.

20168240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 20168240 is about 4490.9063673161. The cubic root of 20168240 is about 272.2007600893.

The spelling of 20168240 in words is "twenty million, one hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 97 113 115 184 194 226 230 368 388 452 460 485 565 776 904 920 970 1130 1552 1808 1840 1940 2231 2260 2599 3880 4462 4520 5198 7760 8924 9040 10396 10961 11155 12995 17848 20792 21922 22310 25990 35696 41584 43844 44620 51980 54805 87688 89240 103960 109610 175376 178480 207920 219220 252103 438440 504206 876880 1008412 1260515 2016824 2521030 4033648 5042060 10084120 20168240