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20314140 = 22357114397
BaseRepresentation
bin100110101111…
…1100000011100
31102020001202120
41031133200130
520200023030
62003222540
7334444620
oct115374034
942201676
1020314140
1110515350
126977a50
134293402
1429ab180
151bb4010
hex135f81c

20314140 has 96 divisors (see below), whose sum is σ = 70930944. Its totient is φ = 4220160.

The previous prime is 20314127. The next prime is 20314163. The reversal of 20314140 is 4141302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2422 + ... + 6818.

It is an arithmetic number, because the mean of its divisors is an integer number (738864).

Almost surely, 220314140 is an apocalyptic number.

20314140 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 20314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35465472).

20314140 is an abundant number, since it is smaller than the sum of its proper divisors (50616804).

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

20314140 is a wasteful number, since it uses less digits than its factorization.

20314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20314140 is about 4507.1210323221. The cubic root of 20314140 is about 272.8555636829.

Adding to 20314140 its reverse (4141302), we get a palindrome (24455442).

The spelling of 20314140 in words is "twenty million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4397 4620 8794 13191 17588 21985 26382 30779 43970 48367 52764 61558 65955 87940 92337 96734 123116 131910 145101 153895 184674 193468 241835 263820 290202 307790 338569 369348 461685 483670 580404 615580 677138 725505 923370 967340 1015707 1354276 1451010 1692845 1846740 2031414 2902020 3385690 4062828 5078535 6771380 10157070 20314140